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Finding the Third Proportional to 24,786 and 38,331

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Solution

The third proportional to 24,786 and 38,331 is: 59,278.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,786 : 38,331 = 38,331 : x
  2. Step 2: Convert to fraction form
    24,786/38,331 = 38,331/x
  3. Step 3: Cross multiply
    24,786x = 38,331 × 38,331
  4. Step 4: Simplify right side
    24,786x = 1,469,265,561
  5. Step 5: Solve for x
    x = 1,469,265,561/24,786
  6. Step 6: Final answer
    x = 59,278.04

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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.