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Finding the Third Proportional to 11,272 and 24,107

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Solution

The third proportional to 11,272 and 24,107 is: 51,556.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,272 : 24,107 = 24,107 : x
  2. Step 2: Convert to fraction form
    11,272/24,107 = 24,107/x
  3. Step 3: Cross multiply
    11,272x = 24,107 × 24,107
  4. Step 4: Simplify right side
    11,272x = 581,147,449
  5. Step 5: Solve for x
    x = 581,147,449/11,272
  6. Step 6: Final answer
    x = 51,556.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.