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Finding the Third Proportional to 39,242.75 and 57,040.75

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Solution

The third proportional to 39,242.75 and 57,040.75 is: 82,910.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,242.75 : 57,040.75 = 57,040.75 : x
  2. Step 2: Convert to fraction form
    39,242.75/57,040.75 = 57,040.75/x
  3. Step 3: Cross multiply
    39,242.75x = 57,040.75 × 57,040.75
  4. Step 4: Simplify right side
    39,242.75x = 3,253,647,160.56
  5. Step 5: Solve for x
    x = 3,253,647,160.56/39,242.75
  6. Step 6: Final answer
    x = 82,910.78

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Why These Related Problems?

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