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Finding the Third Proportional to 3,243.38 and 5,017.13

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Solution

The third proportional to 3,243.38 and 5,017.13 is: 7,760.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.38 : 5,017.13 = 5,017.13 : x
  2. Step 2: Convert to fraction form
    3,243.38/5,017.13 = 5,017.13/x
  3. Step 3: Cross multiply
    3,243.38x = 5,017.13 × 5,017.13
  4. Step 4: Simplify right side
    3,243.38x = 25,171,543.27
  5. Step 5: Solve for x
    x = 25,171,543.27/3,243.38
  6. Step 6: Final answer
    x = 7,760.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.