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Finding the Third Proportional to 2,849 and 3,257

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Solution

The third proportional to 2,849 and 3,257 is: 3,723.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849 : 3,257 = 3,257 : x
  2. Step 2: Convert to fraction form
    2,849/3,257 = 3,257/x
  3. Step 3: Cross multiply
    2,849x = 3,257 × 3,257
  4. Step 4: Simplify right side
    2,849x = 10,608,049
  5. Step 5: Solve for x
    x = 10,608,049/2,849
  6. Step 6: Final answer
    x = 3,723.43

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.