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Finding the Third Proportional to 11,767 and 16,493

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Solution

The third proportional to 11,767 and 16,493 is: 23,117.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,767 : 16,493 = 16,493 : x
  2. Step 2: Convert to fraction form
    11,767/16,493 = 16,493/x
  3. Step 3: Cross multiply
    11,767x = 16,493 × 16,493
  4. Step 4: Simplify right side
    11,767x = 272,019,049
  5. Step 5: Solve for x
    x = 272,019,049/11,767
  6. Step 6: Final answer
    x = 23,117.11

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.