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Finding the Third Proportional to 11,227 and 23,637

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Solution

The third proportional to 11,227 and 23,637 is: 49,764.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,227 : 23,637 = 23,637 : x
  2. Step 2: Convert to fraction form
    11,227/23,637 = 23,637/x
  3. Step 3: Cross multiply
    11,227x = 23,637 × 23,637
  4. Step 4: Simplify right side
    11,227x = 558,707,769
  5. Step 5: Solve for x
    x = 558,707,769/11,227
  6. Step 6: Final answer
    x = 49,764.65

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.