**How to Find X?**

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**Given** **Proportion**

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**

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**Cross multiply the numerators and denominators**.

Move the x to the right-hand side **numerator** from the left-hand side **denominator** and multiply with the existing right-hand side numerator x.

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

**Simplification**

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.

**Solution**

Lets write as x^2 = 64

we can write 64 as 8^2 because eight power two will be 64

**x^2 = 8^2**

Now move the **square** from the left-hand side to the right-hand side, which will become the **square root**

so **x = square root of ( 8^2 ) **

square root and square will get cancelled against each other. Finally, the value of x becomes 8.

**✅ x=8**

**👉 So the value of x is 8**

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