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Finding the Third Proportional to 3,680 and 5,449

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Solution

The third proportional to 3,680 and 5,449 is: 8,068.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,680 : 5,449 = 5,449 : x
  2. Step 2: Convert to fraction form
    3,680/5,449 = 5,449/x
  3. Step 3: Cross multiply
    3,680x = 5,449 × 5,449
  4. Step 4: Simplify right side
    3,680x = 29,691,601
  5. Step 5: Solve for x
    x = 29,691,601/3,680
  6. Step 6: Final answer
    x = 8,068.37

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.