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Finding the Third Proportional to 24,720 and 38,234

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Solution

The third proportional to 24,720 and 38,234 is: 59,135.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,720 : 38,234 = 38,234 : x
  2. Step 2: Convert to fraction form
    24,720/38,234 = 38,234/x
  3. Step 3: Cross multiply
    24,720x = 38,234 × 38,234
  4. Step 4: Simplify right side
    24,720x = 1,461,838,756
  5. Step 5: Solve for x
    x = 1,461,838,756/24,720
  6. Step 6: Final answer
    x = 59,135.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.