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Finding the Third Proportional to 3,209 and 3,449

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Solution

The third proportional to 3,209 and 3,449 is: 3,706.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209 : 3,449 = 3,449 : x
  2. Step 2: Convert to fraction form
    3,209/3,449 = 3,449/x
  3. Step 3: Cross multiply
    3,209x = 3,449 × 3,449
  4. Step 4: Simplify right side
    3,209x = 11,895,601
  5. Step 5: Solve for x
    x = 11,895,601/3,209
  6. Step 6: Final answer
    x = 3,706.95

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.