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Finding the Third Proportional to 18,589 and 29,924

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Solution

The third proportional to 18,589 and 29,924 is: 48,170.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,589 : 29,924 = 29,924 : x
  2. Step 2: Convert to fraction form
    18,589/29,924 = 29,924/x
  3. Step 3: Cross multiply
    18,589x = 29,924 × 29,924
  4. Step 4: Simplify right side
    18,589x = 895,445,776
  5. Step 5: Solve for x
    x = 895,445,776/18,589
  6. Step 6: Final answer
    x = 48,170.73

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.