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Finding the Third Proportional to 10,912 and 16,571

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Solution

The third proportional to 10,912 and 16,571 is: 25,164.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,912 : 16,571 = 16,571 : x
  2. Step 2: Convert to fraction form
    10,912/16,571 = 16,571/x
  3. Step 3: Cross multiply
    10,912x = 16,571 × 16,571
  4. Step 4: Simplify right side
    10,912x = 274,598,041
  5. Step 5: Solve for x
    x = 274,598,041/10,912
  6. Step 6: Final answer
    x = 25,164.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.