Finding the Third Proportional to 21,920 and 31,016
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Solution
The third proportional to 21,920 and 31,016 is: 43,886.51
Step by Step Solution
- Step 1: Write the proportion equation
21,920 : 31,016 = 31,016 : x - Step 2: Convert to fraction form
21,920/31,016 = 31,016/x - Step 3: Cross multiply
21,920x = 31,016 × 31,016 - Step 4: Simplify right side
21,920x = 961,992,256 - Step 5: Solve for x
x = 961,992,256/21,920 - Step 6: Final answer
x = 43,886.51
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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.