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Finding the Third Proportional to 39,387 and 58,462

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Solution

The third proportional to 39,387 and 58,462 is: 86,774.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,387 : 58,462 = 58,462 : x
  2. Step 2: Convert to fraction form
    39,387/58,462 = 58,462/x
  3. Step 3: Cross multiply
    39,387x = 58,462 × 58,462
  4. Step 4: Simplify right side
    39,387x = 3,417,805,444
  5. Step 5: Solve for x
    x = 3,417,805,444/39,387
  6. Step 6: Final answer
    x = 86,774.96

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.