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Finding the Third Proportional to 3,745.62 and 7,620.33

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Solution

The third proportional to 3,745.62 and 7,620.33 is: 15,503.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.62 : 7,620.33 = 7,620.33 : x
  2. Step 2: Convert to fraction form
    3,745.62/7,620.33 = 7,620.33/x
  3. Step 3: Cross multiply
    3,745.62x = 7,620.33 × 7,620.33
  4. Step 4: Simplify right side
    3,745.62x = 58,069,400.73
  5. Step 5: Solve for x
    x = 58,069,400.73/3,745.62
  6. Step 6: Final answer
    x = 15,503.29

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.