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Finding the Third Proportional to 39,764 and 57,496

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Solution

The third proportional to 39,764 and 57,496 is: 83,135.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,764 : 57,496 = 57,496 : x
  2. Step 2: Convert to fraction form
    39,764/57,496 = 57,496/x
  3. Step 3: Cross multiply
    39,764x = 57,496 × 57,496
  4. Step 4: Simplify right side
    39,764x = 3,305,790,016
  5. Step 5: Solve for x
    x = 3,305,790,016/39,764
  6. Step 6: Final answer
    x = 83,135.25

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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.