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Finding the Third Proportional to 17,812 and 38,449

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Solution

The third proportional to 17,812 and 38,449 is: 82,996.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,812 : 38,449 = 38,449 : x
  2. Step 2: Convert to fraction form
    17,812/38,449 = 38,449/x
  3. Step 3: Cross multiply
    17,812x = 38,449 × 38,449
  4. Step 4: Simplify right side
    17,812x = 1,478,325,601
  5. Step 5: Solve for x
    x = 1,478,325,601/17,812
  6. Step 6: Final answer
    x = 82,996.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.