Steven 的年龄与 Cindy 的年龄之比为 3 : 2。Cindy 的年龄与 Juliet 的年龄之比为 4 : 5。Steven 的年龄与 Juliet 的年龄之比是多少？请给出最简形式。 答：___

1. Identify the common term and find the equivalent ratios

Steven : Cindy = $3 : 2$
Cindy : Juliet = $4 : 5$
The common term is Cindy. We need to make Cindy's parts equal in both ratios. The lowest common multiple of $2$ and $4$ is $4$.
Multiply the first ratio by $2$:
Steven : Cindy = $(3 \times 2) : (2 \times 2) = 6 : 4$

2. Combine the ratios and extract the required ratio

Now we have:
Steven : Cindy : Juliet = $6 : 4 : 5$
The ratio of Steven's age to Juliet's age is $6 : 5$. This is already in its simplest form.