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Finding the Third Proportional to 849 and 2,217

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Solution

The third proportional to 849 and 2,217 is: 5,789.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    849 : 2,217 = 2,217 : x
  2. Step 2: Convert to fraction form
    849/2,217 = 2,217/x
  3. Step 3: Cross multiply
    849x = 2,217 × 2,217
  4. Step 4: Simplify right side
    849x = 4,915,089
  5. Step 5: Solve for x
    x = 4,915,089/849
  6. Step 6: Final answer
    x = 5,789.27

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Why These Related Problems?

These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.