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Finding the Third Proportional to 3,899.87 and 5,202.67

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Solution

The third proportional to 3,899.87 and 5,202.67 is: 6,940.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.87 : 5,202.67 = 5,202.67 : x
  2. Step 2: Convert to fraction form
    3,899.87/5,202.67 = 5,202.67/x
  3. Step 3: Cross multiply
    3,899.87x = 5,202.67 × 5,202.67
  4. Step 4: Simplify right side
    3,899.87x = 27,067,753.99
  5. Step 5: Solve for x
    x = 27,067,753.99/3,899.87
  6. Step 6: Final answer
    x = 6,940.69

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.