Finding the Third Proportional to 33,870.50 and 52,744
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Solution
The third proportional to 33,870.50 and 52,744 is: 82,134.29
Step by Step Solution
- Step 1: Write the proportion equation
33,870.50 : 52,744 = 52,744 : x - Step 2: Convert to fraction form
33,870.50/52,744 = 52,744/x - Step 3: Cross multiply
33,870.50x = 52,744 × 52,744 - Step 4: Simplify right side
33,870.50x = 2,781,929,536 - Step 5: Solve for x
x = 2,781,929,536/33,870.50 - Step 6: Final answer
x = 82,134.29
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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.