To determine the means of the given proportion [tex]\(\frac{2}{3} = \frac{20}{30}\)[/tex], we need to understand what the means are in a proportion. In a proportion of the form [tex]\(\frac{a}{b} = \frac{c}{d}\)[/tex], the means are [tex]\(b\)[/tex] and [tex]\(c\)[/tex]. These are the numbers on the inside of the equality, i.e., the denominator of the first fraction and the numerator of the second fraction.
Given our proportion [tex]\(\frac{2}{3} = \frac{20}{30}\)[/tex], we can identify the means as follows:
- The first mean is the denominator of the first fraction, which is [tex]\(3\)[/tex].
- The second mean is the numerator of the second fraction, which is [tex]\(20\)[/tex].
Thus, the means of the proportion [tex]\(\frac{2}{3} = \frac{20}{30}\)[/tex] are [tex]\(3\)[/tex] and [tex]\(20\)[/tex].
Therefore, the correct answer is B. [tex]\(3\)[/tex] and [tex]\(20\)[/tex].
