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Finding the Third Proportional to 55,107.38 and 82,447.13

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Solution

The third proportional to 55,107.38 and 82,447.13 is: 123,350.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,107.38 : 82,447.13 = 82,447.13 : x
  2. Step 2: Convert to fraction form
    55,107.38/82,447.13 = 82,447.13/x
  3. Step 3: Cross multiply
    55,107.38x = 82,447.13 × 82,447.13
  4. Step 4: Simplify right side
    55,107.38x = 6,797,528,420.77
  5. Step 5: Solve for x
    x = 6,797,528,420.77/55,107.38
  6. Step 6: Final answer
    x = 123,350.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.