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Finding the Third Proportional to 1,040.61 and 2,229.29

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Solution

The third proportional to 1,040.61 and 2,229.29 is: 4,775.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.61 : 2,229.29 = 2,229.29 : x
  2. Step 2: Convert to fraction form
    1,040.61/2,229.29 = 2,229.29/x
  3. Step 3: Cross multiply
    1,040.61x = 2,229.29 × 2,229.29
  4. Step 4: Simplify right side
    1,040.61x = 4,969,747.14
  5. Step 5: Solve for x
    x = 4,969,747.14/1,040.61
  6. Step 6: Final answer
    x = 4,775.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.