1. The problem asks us to identify which ratios are equivalent to $3:18$. 2. Two ratios $a:b$ and $c:d$ are equivalent if their cross products are equal, i.e., $a \times d = b \times c$. 3. First, simplify the ratio $3:18$ by dividing both terms by their greatest common divisor, which is 3: $$\frac{\cancel{3}}{\cancel{3}} : \frac{18}{3} = 1 : 6$$ 4. Now check each given ratio to see if it simplifies to $1:6$ or if the cross products equal: - For $2:12$: $$2 \times 18 = 36, \quad 12 \times 3 = 36$$ Since $36 = 36$, $2:12$ is equivalent to $3:18$. - For $14:27$: $$14 \times 18 = 252, \quad 27 \times 3 = 81$$ Since $252 \neq 81$, $14:27$ is not equivalent. - For $21:24$: $$21 \times 18 = 378, \quad 24 \times 3 = 72$$ Since $378 \neq 72$, $21:24$ is not equivalent. - For $5:30$: $$5 \times 18 = 90, \quad 30 \times 3 = 90$$ Since $90 = 90$, $5:30$ is equivalent. 5. Therefore, the ratios equivalent to $3:18$ are $2:12$ and $5:30$. Final answer: $2:12$ and $5:30$ are equivalent to $3:18$.