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Finding the Third Proportional to 24,732 and 54,801

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Solution

The third proportional to 24,732 and 54,801 is: 121,427.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,732 : 54,801 = 54,801 : x
  2. Step 2: Convert to fraction form
    24,732/54,801 = 54,801/x
  3. Step 3: Cross multiply
    24,732x = 54,801 × 54,801
  4. Step 4: Simplify right side
    24,732x = 3,003,149,601
  5. Step 5: Solve for x
    x = 3,003,149,601/24,732
  6. Step 6: Final answer
    x = 121,427.69

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.