How to Find X?
If 1:x = x:64 is given proportion, Algebra is always interesting to solve. In this given sum, we need to find the value x. Let's see how to solve this step by step. Refer above image for a detailed solution.
Rewrite this Proportion to Simplify
we can write it as
1/x = x/64
Cross multiply the numerators and denominators.
From the right-hand side denominator, move 64 to the left-hand side numerator and multiply with the existing left-hand side numerator 1.
Now it becomes, 1 X 64 = x X x
Where 'X' represents multiplication
Simplify further 64 = x^2
If you multiply x with another x, it will become x power 2, which we can write as x^2.
Lets write as x^2 = 64
we can write 64 as 8^2 because eight power two will be 64
x^2 = 8^2
so x = square root of ( 8^2 )
square root and square will get cancelled against each other. Finally, the value of x becomes 8.
👉 So the value of x is 8
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