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Finding the Third Proportional to 8,351 and 11,893

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Solution

The third proportional to 8,351 and 11,893 is: 16,937.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,351 : 11,893 = 11,893 : x
  2. Step 2: Convert to fraction form
    8,351/11,893 = 11,893/x
  3. Step 3: Cross multiply
    8,351x = 11,893 × 11,893
  4. Step 4: Simplify right side
    8,351x = 141,443,449
  5. Step 5: Solve for x
    x = 141,443,449/8,351
  6. Step 6: Final answer
    x = 16,937.31

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.