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Finding the Third Proportional to 11,624 and 23,860

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Solution

The third proportional to 11,624 and 23,860 is: 48,976.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624 : 23,860 = 23,860 : x
  2. Step 2: Convert to fraction form
    11,624/23,860 = 23,860/x
  3. Step 3: Cross multiply
    11,624x = 23,860 × 23,860
  4. Step 4: Simplify right side
    11,624x = 569,299,600
  5. Step 5: Solve for x
    x = 569,299,600/11,624
  6. Step 6: Final answer
    x = 48,976.22

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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.