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Finding the Third Proportional to 11,662 and 24,638

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Solution

The third proportional to 11,662 and 24,638 is: 52,052.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,662 : 24,638 = 24,638 : x
  2. Step 2: Convert to fraction form
    11,662/24,638 = 24,638/x
  3. Step 3: Cross multiply
    11,662x = 24,638 × 24,638
  4. Step 4: Simplify right side
    11,662x = 607,031,044
  5. Step 5: Solve for x
    x = 607,031,044/11,662
  6. Step 6: Final answer
    x = 52,052.05

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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.