Finding the Third Proportional to 13,712 and 31,992
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Solution
The third proportional to 13,712 and 31,992 is: 74,641.78
Step by Step Solution
- Step 1: Write the proportion equation
13,712 : 31,992 = 31,992 : x - Step 2: Convert to fraction form
13,712/31,992 = 31,992/x - Step 3: Cross multiply
13,712x = 31,992 × 31,992 - Step 4: Simplify right side
13,712x = 1,023,488,064 - Step 5: Solve for x
x = 1,023,488,064/13,712 - Step 6: Final answer
x = 74,641.78
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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.