If mean proportion between x and 2 is 4 find x
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Let we have two numbers 2 & 8, and the mean proportion between those numbers be x.
In this case, 2:x : : x:8
Hence, x² = 8×2 = 16
or, x= 4.
Similarly, here we have two numbers x and 2 and the mean proportional is 4
In this case, x:4::4:2
or, x/4 = 4/2 = 2
Therefore, x/4 = 2
or, x = 2×4 = 8
Always remember if a,b and c are three numbers in continued proportion, then a:b::b:c (b is the mean proportional between a and c)
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Answer:
X= 8
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