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If the third proportional of 64 and Z is 4, then what is the value of Z?
Question

If the third proportional of 64 and Z is 4, then what is the value of Z?

A.

18

B.

17

C.

16

D.

14

Correct option is C

Given:
First number = 64
Third proportional = 4
Formula Used:
If c is the third proportional to a and b, then:
c = b2a\frac{b^2}{a}​​
Solution:
Substitute the given values into the formula:
4 = Z264 \frac{Z^2}{64}​​
Z2Z^2​ = 4 × 64 = 256
Z = 16
Final Answer
So the correct answer is (c)

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