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Finding the Third Proportional to 24,414 and 36,561

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Solution

The third proportional to 24,414 and 36,561 is: 54,751.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,414 : 36,561 = 36,561 : x
  2. Step 2: Convert to fraction form
    24,414/36,561 = 36,561/x
  3. Step 3: Cross multiply
    24,414x = 36,561 × 36,561
  4. Step 4: Simplify right side
    24,414x = 1,336,706,721
  5. Step 5: Solve for x
    x = 1,336,706,721/24,414
  6. Step 6: Final answer
    x = 54,751.65

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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.