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Finding the Third Proportional to 2,006.75 and 3,202.38

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Solution

The third proportional to 2,006.75 and 3,202.38 is: 5,110.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.75 : 3,202.38 = 3,202.38 : x
  2. Step 2: Convert to fraction form
    2,006.75/3,202.38 = 3,202.38/x
  3. Step 3: Cross multiply
    2,006.75x = 3,202.38 × 3,202.38
  4. Step 4: Simplify right side
    2,006.75x = 10,255,205.64
  5. Step 5: Solve for x
    x = 10,255,205.64/2,006.75
  6. Step 6: Final answer
    x = 5,110.36

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.