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Finding the Third Proportional to 24,887 and 37,725

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Solution

The third proportional to 24,887 and 37,725 is: 57,185.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,887 : 37,725 = 37,725 : x
  2. Step 2: Convert to fraction form
    24,887/37,725 = 37,725/x
  3. Step 3: Cross multiply
    24,887x = 37,725 × 37,725
  4. Step 4: Simplify right side
    24,887x = 1,423,175,625
  5. Step 5: Solve for x
    x = 1,423,175,625/24,887
  6. Step 6: Final answer
    x = 57,185.50

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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.