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Finding the Third Proportional to 8,272 and 11,571

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Solution

The third proportional to 8,272 and 11,571 is: 16,185.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272 : 11,571 = 11,571 : x
  2. Step 2: Convert to fraction form
    8,272/11,571 = 11,571/x
  3. Step 3: Cross multiply
    8,272x = 11,571 × 11,571
  4. Step 4: Simplify right side
    8,272x = 133,888,041
  5. Step 5: Solve for x
    x = 133,888,041/8,272
  6. Step 6: Final answer
    x = 16,185.69

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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.