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Finding the Third Proportional to 39,737.25 and 57,462.75

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Solution

The third proportional to 39,737.25 and 57,462.75 is: 83,095.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,737.25 : 57,462.75 = 57,462.75 : x
  2. Step 2: Convert to fraction form
    39,737.25/57,462.75 = 57,462.75/x
  3. Step 3: Cross multiply
    39,737.25x = 57,462.75 × 57,462.75
  4. Step 4: Simplify right side
    39,737.25x = 3,301,967,637.56
  5. Step 5: Solve for x
    x = 3,301,967,637.56/39,737.25
  6. Step 6: Final answer
    x = 83,095.02

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.