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Finding the Third Proportional to 39,393 and 58,471

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Solution

The third proportional to 39,393 and 58,471 is: 86,788.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,393 : 58,471 = 58,471 : x
  2. Step 2: Convert to fraction form
    39,393/58,471 = 58,471/x
  3. Step 3: Cross multiply
    39,393x = 58,471 × 58,471
  4. Step 4: Simplify right side
    39,393x = 3,418,857,841
  5. Step 5: Solve for x
    x = 3,418,857,841/39,393
  6. Step 6: Final answer
    x = 86,788.46

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Why These Related Problems?

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