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Finding the Third Proportional to 2,229.71 and 3,331.76

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Solution

The third proportional to 2,229.71 and 3,331.76 is: 4,978.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.71 : 3,331.76 = 3,331.76 : x
  2. Step 2: Convert to fraction form
    2,229.71/3,331.76 = 3,331.76/x
  3. Step 3: Cross multiply
    2,229.71x = 3,331.76 × 3,331.76
  4. Step 4: Simplify right side
    2,229.71x = 11,100,610.12
  5. Step 5: Solve for x
    x = 11,100,610.12/2,229.71
  6. Step 6: Final answer
    x = 4,978.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.