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Finding the Third Proportional to 10,942 and 16,467

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Solution

The third proportional to 10,942 and 16,467 is: 24,781.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,942 : 16,467 = 16,467 : x
  2. Step 2: Convert to fraction form
    10,942/16,467 = 16,467/x
  3. Step 3: Cross multiply
    10,942x = 16,467 × 16,467
  4. Step 4: Simplify right side
    10,942x = 271,162,089
  5. Step 5: Solve for x
    x = 271,162,089/10,942
  6. Step 6: Final answer
    x = 24,781.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.