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Finding the Third Proportional to 24,625 and 53,761

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Solution

The third proportional to 24,625 and 53,761 is: 117,370.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,625 : 53,761 = 53,761 : x
  2. Step 2: Convert to fraction form
    24,625/53,761 = 53,761/x
  3. Step 3: Cross multiply
    24,625x = 53,761 × 53,761
  4. Step 4: Simplify right side
    24,625x = 2,890,245,121
  5. Step 5: Solve for x
    x = 2,890,245,121/24,625
  6. Step 6: Final answer
    x = 117,370.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.