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If the third proportional of 28 and 70 be x, then what is the value of x?
Question

If the third proportional of 28 and 70 be x, then what is the value of x?

A.

174

B.

172

C.

173

D.

175

Correct option is D

Given:First number=28Second number=70Third proportional=xFormula Used:If a:b=b:c, then c=b2aSolution:28:70=70:x=>7028=x70Cross multiplying:28x=70×7028x=4900x=490028x=175Therefore, the value of x=175\textbf{Given:} \\\text{First number} = 28 \\\text{Second number} = 70 \\\text{Third proportional} = x\\\textbf{Formula Used:} \\\text{If } a : b = b : c,\ \text{then } c = \dfrac{b^2}{a}\\\textbf{Solution:} \\28 : 70 = 70 : x \\\Rightarrow \dfrac{70}{28} = \dfrac{x}{70}\\\text{Cross multiplying:} \\28x = 70 \times 70 \\28x = 4900\\x = \dfrac{4900}{28} \\x = 175\\\\\textbf{Therefore, the value of } x = \boxed{175}​​

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