To identify the means of the proportion [tex]\( \frac{2}{3} = \frac{20}{30} \)[/tex], let's first recall that in any proportion of the form [tex]\( \frac{a}{b} = \frac{c}{d} \)[/tex], the means are the two inner terms, [tex]\( b \)[/tex] and [tex]\( c \)[/tex].
Given the proportion [tex]\( \frac{2}{3} = \frac{20}{30} \)[/tex]:
- The first term (numerator of the first fraction) is [tex]\( 2 \)[/tex].
- The second term (denominator of the first fraction) is [tex]\( 3 \)[/tex].
- The third term (numerator of the second fraction) is [tex]\( 20 \)[/tex].
- The fourth term (denominator of the second fraction) is [tex]\( 30 \)[/tex].
The means are the second and third numbers in the proportion, [tex]\(3\)[/tex] and [tex]\(20\)[/tex].
Thus, the numbers that are the means of the proportion [tex]\( \frac{2}{3} = \frac{20}{30} \)[/tex] are:
- 3
- 20
This matches option A.
Therefore, the correct answer is:
A. 3 and 20
