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Finding the Third Proportional to 26,529 and 57,978.75

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Solution

The third proportional to 26,529 and 57,978.75 is: 126,711.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,529 : 57,978.75 = 57,978.75 : x
  2. Step 2: Convert to fraction form
    26,529/57,978.75 = 57,978.75/x
  3. Step 3: Cross multiply
    26,529x = 57,978.75 × 57,978.75
  4. Step 4: Simplify right side
    26,529x = 3,361,535,451.56
  5. Step 5: Solve for x
    x = 3,361,535,451.56/26,529
  6. Step 6: Final answer
    x = 126,711.73

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.