00:00We're continuing with our topic of game proportions, specifically the third property, binary proportion, and its second property.
00:07I'm talking about the proportion A divided by B equals C divided by K.
00:16The first, second, third, and fourth terms of the proportion are given by the numbers A, B, C, and D, respectively.
00:48that is, the element
00:53We say this by trying.
00:56So, friends, if A divided by B equals C divided by B, then this is the first term.
01:05Right, guys?
01:07B is the second term.
01:10The third term for C.
01:15We call D the 4th term.
01:20There's another important aspect to this, folks.
01:25We refer to them as numbers A, B, and C.
01:29With the numbers A, B, C
01:344. proportional number
01:48It works like this, friends: we say A divided by B equals C divided by X.
01:55For example, friends, if the 4th proportional number is...
02:00X friends over there.
02:02Yes.
02:02Let it be 6, let it be 4, and
02:05What is the number 4 that is proportional to the number 5?
02:09With the numbers 5
02:14We will say the ratio of 4 to 4 to 4 to 4, then the ratio of 5 to X, respectively.
02:26Our colleagues are asking us about this X.
02:27If we cross-multiply, and first simplify this part, 3, 2, 2 will also cancel out.
02:33Then 3 divided by 2 equals 5 divided by X.
02:37If we apply cross-multiplication again, friends, 3 times X equals 10, so X equals 10 divided by 3, which is our fourth proportional number.
02:45We find it as 10 divided by 3.
02:46Now let's look at the second feature of the network, arkadaşlar.
02:52Numbers A and B
02:59moderate proportion
03:01We also have a moderate proportion.
03:11X is
03:14We call this the ratio of A to X, folks.
03:17It is the ratio of X to B.
03:19This is proportional to X.
03:21It is the square root of A times B.
03:26For example,
03:312 to 8
03:36middle
03:39proportional
03:41moderate proportion
03:43X is
03:43What is our X here, guys?
03:47What's up, guys?
03:49The ratio of 2 to X
03:50It comes from the ratio of X to 8.
03:52From cross-multiplication
03:54Actually
03:55X squared equals 16
03:57If we take it inside the square root, friends...
03:59What does X equal, folks?
04:01We find it to be 4.
04:02let it be
04:03race
04:04race
04:04race
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