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Finding the Third Proportional to 24,491 and 36,376

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Solution

The third proportional to 24,491 and 36,376 is: 54,028.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,491 : 36,376 = 36,376 : x
  2. Step 2: Convert to fraction form
    24,491/36,376 = 36,376/x
  3. Step 3: Cross multiply
    24,491x = 36,376 × 36,376
  4. Step 4: Simplify right side
    24,491x = 1,323,213,376
  5. Step 5: Solve for x
    x = 1,323,213,376/24,491
  6. Step 6: Final answer
    x = 54,028.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.