Answer
\[x=5\].
Work Step by Step
Consider the equation
\[\frac{3}{x}=\frac{15}{25}\]
The LCM is\[25x\] so multiply both the sides by \[25x\]
\[\left( 25x \right)\times \frac{3}{x}=\left( 25x \right)\times \frac{15}{25}\]
This gives,
\[75=15x\]
Or,
\[15x=75\]
Divide both the sides by 15
\[x=5\]
Now, to check it, put \[x=5\]in the equation
\[\begin{align}
& \frac{3}{x}=\frac{15}{25} \\
& \frac{3}{5}=\frac{15}{25} \\
& \frac{3}{5}=\frac{3}{5} \\
\end{align}\]
which is true.
The required solution is\[x=5\].
