To determine whether the given statements are proportions, we need to check if the ratios are equal.
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For 2.510 = 1248:
- We can express this as a ratio: \[ \frac{2.5}{10} \quad \text{and} \quad \frac{12}{48} \]
- Simplifying \(\frac{12}{48}\): \[ \frac{12}{48} = \frac{1}{4} \]
- Simplifying \(\frac{2.5}{10}\): \[ \frac{2.5}{10} = \frac{1}{4} \]
- Since both ratios are equal (\(\frac{1}{4}\)), we can say that 2.510 = 1248 is a proportion.
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For 2.52 = 1224:
- Express this as a ratio: \[ \frac{2.5}{2} \quad \text{and} \quad \frac{12}{24} \]
- Simplifying \(\frac{12}{24}\): \[ \frac{12}{24} = \frac{1}{2} \]
- Simplifying \(\frac{2.5}{2}\): \[ \frac{2.5}{2} = \frac{5}{4} \]
- Since \(\frac{5}{4} \neq \frac{1}{2}\), we can say that 2.52 = 1224 is not a proportion.
Putting this together:
- 2.510 = 1248 is a proportion.
- 2.52 = 1224 is not a proportion.
Therefore, the correct response is: Both are proportions. (this statement should be clarified as only the first is a proportion)