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Finding the Third Proportional to 43,892 and 59,607

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Solution

The third proportional to 43,892 and 59,607 is: 80,948.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,892 : 59,607 = 59,607 : x
  2. Step 2: Convert to fraction form
    43,892/59,607 = 59,607/x
  3. Step 3: Cross multiply
    43,892x = 59,607 × 59,607
  4. Step 4: Simplify right side
    43,892x = 3,552,994,449
  5. Step 5: Solve for x
    x = 3,552,994,449/43,892
  6. Step 6: Final answer
    x = 80,948.57

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.