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Finding the Third Proportional to 24,409 and 36,517

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Solution

The third proportional to 24,409 and 36,517 is: 54,631.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,409 : 36,517 = 36,517 : x
  2. Step 2: Convert to fraction form
    24,409/36,517 = 36,517/x
  3. Step 3: Cross multiply
    24,409x = 36,517 × 36,517
  4. Step 4: Simplify right side
    24,409x = 1,333,491,289
  5. Step 5: Solve for x
    x = 1,333,491,289/24,409
  6. Step 6: Final answer
    x = 54,631.13

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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.