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Finding the Third Proportional to 24,879 and 38,049

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Solution

The third proportional to 24,879 and 38,049 is: 58,190.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,879 : 38,049 = 38,049 : x
  2. Step 2: Convert to fraction form
    24,879/38,049 = 38,049/x
  3. Step 3: Cross multiply
    24,879x = 38,049 × 38,049
  4. Step 4: Simplify right side
    24,879x = 1,447,726,401
  5. Step 5: Solve for x
    x = 1,447,726,401/24,879
  6. Step 6: Final answer
    x = 58,190.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.