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Finding the Third Proportional to 48,892 and 73,446

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Solution

The third proportional to 48,892 and 73,446 is: 110,331.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,892 : 73,446 = 73,446 : x
  2. Step 2: Convert to fraction form
    48,892/73,446 = 73,446/x
  3. Step 3: Cross multiply
    48,892x = 73,446 × 73,446
  4. Step 4: Simplify right side
    48,892x = 5,394,314,916
  5. Step 5: Solve for x
    x = 5,394,314,916/48,892
  6. Step 6: Final answer
    x = 110,331.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.