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Finding the Third Proportional to 24,675 and 37,626

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Solution

The third proportional to 24,675 and 37,626 is: 57,374.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,675 : 37,626 = 37,626 : x
  2. Step 2: Convert to fraction form
    24,675/37,626 = 37,626/x
  3. Step 3: Cross multiply
    24,675x = 37,626 × 37,626
  4. Step 4: Simplify right side
    24,675x = 1,415,715,876
  5. Step 5: Solve for x
    x = 1,415,715,876/24,675
  6. Step 6: Final answer
    x = 57,374.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.