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Finding the Third Proportional to 24,638 and 36,919

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Solution

The third proportional to 24,638 and 36,919 is: 55,321.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,638 : 36,919 = 36,919 : x
  2. Step 2: Convert to fraction form
    24,638/36,919 = 36,919/x
  3. Step 3: Cross multiply
    24,638x = 36,919 × 36,919
  4. Step 4: Simplify right side
    24,638x = 1,363,012,561
  5. Step 5: Solve for x
    x = 1,363,012,561/24,638
  6. Step 6: Final answer
    x = 55,321.56

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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.