To maintain the ratio of three parts vinegar to five parts oil, we can set up a proportion. If the chef has 15 ounces of vinegar, we can calculate the required amount of oil using the ratio: ( \frac{3}{5} = \frac{15}{x} ). Solving for ( x ) gives us ( x = \frac{15 \times 5}{3} = 25 ). Therefore, the chef would need 25 ounces of oil to mix with 15 ounces of vinegar.
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