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Finding the Third Proportional to 2,003.06 and 3,147.19

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Solution

The third proportional to 2,003.06 and 3,147.19 is: 4,944.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.06 : 3,147.19 = 3,147.19 : x
  2. Step 2: Convert to fraction form
    2,003.06/3,147.19 = 3,147.19/x
  3. Step 3: Cross multiply
    2,003.06x = 3,147.19 × 3,147.19
  4. Step 4: Simplify right side
    2,003.06x = 9,904,789.16
  5. Step 5: Solve for x
    x = 9,904,789.16/2,003.06
  6. Step 6: Final answer
    x = 4,944.82

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.