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Finding the Third Proportional to 32,835.38 and 71,614.13

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Solution

The third proportional to 32,835.38 and 71,614.13 is: 156,190.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,835.38 : 71,614.13 = 71,614.13 : x
  2. Step 2: Convert to fraction form
    32,835.38/71,614.13 = 71,614.13/x
  3. Step 3: Cross multiply
    32,835.38x = 71,614.13 × 71,614.13
  4. Step 4: Simplify right side
    32,835.38x = 5,128,582,899.52
  5. Step 5: Solve for x
    x = 5,128,582,899.52/32,835.38
  6. Step 6: Final answer
    x = 156,190.78

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.