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Finding the Third Proportional to 59,535.56 and 82,013.34

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Solution

The third proportional to 59,535.56 and 82,013.34 is: 112,977.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,535.56 : 82,013.34 = 82,013.34 : x
  2. Step 2: Convert to fraction form
    59,535.56/82,013.34 = 82,013.34/x
  3. Step 3: Cross multiply
    59,535.56x = 82,013.34 × 82,013.34
  4. Step 4: Simplify right side
    59,535.56x = 6,726,188,553.06
  5. Step 5: Solve for x
    x = 6,726,188,553.06/59,535.56
  6. Step 6: Final answer
    x = 112,977.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.