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Finding the Third Proportional to 19,892 and 29,924

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Solution

The third proportional to 19,892 and 29,924 is: 45,015.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,892 : 29,924 = 29,924 : x
  2. Step 2: Convert to fraction form
    19,892/29,924 = 29,924/x
  3. Step 3: Cross multiply
    19,892x = 29,924 × 29,924
  4. Step 4: Simplify right side
    19,892x = 895,445,776
  5. Step 5: Solve for x
    x = 895,445,776/19,892
  6. Step 6: Final answer
    x = 45,015.37

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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.