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Finding the Third Proportional to 11,624 and 23,866

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Solution

The third proportional to 11,624 and 23,866 is: 49,000.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624 : 23,866 = 23,866 : x
  2. Step 2: Convert to fraction form
    11,624/23,866 = 23,866/x
  3. Step 3: Cross multiply
    11,624x = 23,866 × 23,866
  4. Step 4: Simplify right side
    11,624x = 569,585,956
  5. Step 5: Solve for x
    x = 569,585,956/11,624
  6. Step 6: Final answer
    x = 49,000.86

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.