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Finding the Third Proportional to 38,892 and 58,694

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Solution

The third proportional to 38,892 and 58,694 is: 88,578.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,892 : 58,694 = 58,694 : x
  2. Step 2: Convert to fraction form
    38,892/58,694 = 58,694/x
  3. Step 3: Cross multiply
    38,892x = 58,694 × 58,694
  4. Step 4: Simplify right side
    38,892x = 3,444,985,636
  5. Step 5: Solve for x
    x = 3,444,985,636/38,892
  6. Step 6: Final answer
    x = 88,578.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.