Question

Determine whether the pair of ratios forms a proportion.

25\frac { 2 } { 5 }

and

1025\frac { 10 } { 25 }

Solution

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25=10252(25)=10(5)50=50\begin{align*}\tag{Write a proportion} \dfrac{2}{5}&=\dfrac{10}{25}\\\\\tag{Cross-multiply the proportions} 2(25)&=10(5)\\\\\tag{Simplify} 50&=50 \end{align*}

Since 25=1025,  25 and 1025 form a proportion.\begin{align*} \text{Since $\dfrac{2}{5} = \dfrac{10}{25}$, \ $\dfrac{2}{5}$ and $\dfrac{10}{25}$ form a proportion.} \end{align*}

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