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Finding the Third Proportional to 32,711.63 and 51,882.19

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Solution

The third proportional to 32,711.63 and 51,882.19 is: 82,287.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,711.63 : 51,882.19 = 51,882.19 : x
  2. Step 2: Convert to fraction form
    32,711.63/51,882.19 = 51,882.19/x
  3. Step 3: Cross multiply
    32,711.63x = 51,882.19 × 51,882.19
  4. Step 4: Simplify right side
    32,711.63x = 2,691,761,379.79
  5. Step 5: Solve for x
    x = 2,691,761,379.79/32,711.63
  6. Step 6: Final answer
    x = 82,287.61

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.