Final answer:
The pairs of numbers 3, 7 and 30, 70 are proportional because both pairs have the same simplified ratio of 3/7.
Step-by-step explanation:
To determine if the pairs of numbers 3, 7 and 30, 70 are proportional, we compare their ratios.
If the ratio of the first pair is equal to the ratio of the second pair, then the numbers are proportional.
We calculate the ratios as follows:
First pair ratio: 3 / 7
Second pair ratio: 30 / 70
Now, we simplify these ratios:
3 / 7 cannot be simplified further
30 / 70 simplifies to 3 / 7
Since both ratios simplify to 3 / 7, the two pairs of numbers are indeed proportional.