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Finding the Third Proportional to 1,092.50 and 2,249

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Solution

The third proportional to 1,092.50 and 2,249 is: 4,629.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.50 : 2,249 = 2,249 : x
  2. Step 2: Convert to fraction form
    1,092.50/2,249 = 2,249/x
  3. Step 3: Cross multiply
    1,092.50x = 2,249 × 2,249
  4. Step 4: Simplify right side
    1,092.50x = 5,058,001
  5. Step 5: Solve for x
    x = 5,058,001/1,092.50
  6. Step 6: Final answer
    x = 4,629.75

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.