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Finding the Third Proportional to 24,919 and 38,108

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Solution

The third proportional to 24,919 and 38,108 is: 58,277.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,919 : 38,108 = 38,108 : x
  2. Step 2: Convert to fraction form
    24,919/38,108 = 38,108/x
  3. Step 3: Cross multiply
    24,919x = 38,108 × 38,108
  4. Step 4: Simplify right side
    24,919x = 1,452,219,664
  5. Step 5: Solve for x
    x = 1,452,219,664/24,919
  6. Step 6: Final answer
    x = 58,277.61

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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.