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Finding the Third Proportional to 52,471.13 and 81,847.13

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Solution

The third proportional to 52,471.13 and 81,847.13 is: 127,669.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,471.13 : 81,847.13 = 81,847.13 : x
  2. Step 2: Convert to fraction form
    52,471.13/81,847.13 = 81,847.13/x
  3. Step 3: Cross multiply
    52,471.13x = 81,847.13 × 81,847.13
  4. Step 4: Simplify right side
    52,471.13x = 6,698,951,870.77
  5. Step 5: Solve for x
    x = 6,698,951,870.77/52,471.13
  6. Step 6: Final answer
    x = 127,669.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.