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Finding the Third Proportional to 39,753 and 57,480.75

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Solution

The third proportional to 39,753 and 57,480.75 is: 83,114.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,753 : 57,480.75 = 57,480.75 : x
  2. Step 2: Convert to fraction form
    39,753/57,480.75 = 57,480.75/x
  3. Step 3: Cross multiply
    39,753x = 57,480.75 × 57,480.75
  4. Step 4: Simplify right side
    39,753x = 3,304,036,620.56
  5. Step 5: Solve for x
    x = 3,304,036,620.56/39,753
  6. Step 6: Final answer
    x = 83,114.15

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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.