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Finding the Third Proportional to 2,041.03 and 2,251.97

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Solution

The third proportional to 2,041.03 and 2,251.97 is: 2,484.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.03 : 2,251.97 = 2,251.97 : x
  2. Step 2: Convert to fraction form
    2,041.03/2,251.97 = 2,251.97/x
  3. Step 3: Cross multiply
    2,041.03x = 2,251.97 × 2,251.97
  4. Step 4: Simplify right side
    2,041.03x = 5,071,363.25
  5. Step 5: Solve for x
    x = 5,071,363.25/2,041.03
  6. Step 6: Final answer
    x = 2,484.71

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.