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Finding the Third Proportional to 39,671 and 58,413

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Solution

The third proportional to 39,671 and 58,413 is: 86,009.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,671 : 58,413 = 58,413 : x
  2. Step 2: Convert to fraction form
    39,671/58,413 = 58,413/x
  3. Step 3: Cross multiply
    39,671x = 58,413 × 58,413
  4. Step 4: Simplify right side
    39,671x = 3,412,078,569
  5. Step 5: Solve for x
    x = 3,412,078,569/39,671
  6. Step 6: Final answer
    x = 86,009.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.