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Finding the Third Proportional to 1,847 and 2,249

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Solution

The third proportional to 1,847 and 2,249 is: 2,738.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847 : 2,249 = 2,249 : x
  2. Step 2: Convert to fraction form
    1,847/2,249 = 2,249/x
  3. Step 3: Cross multiply
    1,847x = 2,249 × 2,249
  4. Step 4: Simplify right side
    1,847x = 5,058,001
  5. Step 5: Solve for x
    x = 5,058,001/1,847
  6. Step 6: Final answer
    x = 2,738.50

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.