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Finding the Third Proportional to 24,918 and 37,449

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Solution

The third proportional to 24,918 and 37,449 is: 56,281.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,918 : 37,449 = 37,449 : x
  2. Step 2: Convert to fraction form
    24,918/37,449 = 37,449/x
  3. Step 3: Cross multiply
    24,918x = 37,449 × 37,449
  4. Step 4: Simplify right side
    24,918x = 1,402,427,601
  5. Step 5: Solve for x
    x = 1,402,427,601/24,918
  6. Step 6: Final answer
    x = 56,281.71

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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.