24, 36, x are in continued proportion, find the value of x.
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12
Q)24:36::36:x
=>24x=36×36
=>x=36×36/24
=>x=1296/24
=>x=54
Hence, the value of x is 54.
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Answered by
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Given:
24, 36, x are in continued proportion
To find:
The value of x
Solution:
The X's required value is 54.
We can find the value that is required by multiplying the mean and extreme terms and equating them.
SInce the given terms are in a proportion that is continued, we could express them as follows-
24:36::36:x
Now, the product of mean terms is the ame as the product of extreme terms.
Using the values, we get
24×x=36×36
x=36×36/24
x=6×36/4
x=6×9
x=54
Therefore, the X's required value is 54.
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