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Finding the Third Proportional to 3,933.75 and 6,003.38

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Solution

The third proportional to 3,933.75 and 6,003.38 is: 9,161.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,933.75 : 6,003.38 = 6,003.38 : x
  2. Step 2: Convert to fraction form
    3,933.75/6,003.38 = 6,003.38/x
  3. Step 3: Cross multiply
    3,933.75x = 6,003.38 × 6,003.38
  4. Step 4: Simplify right side
    3,933.75x = 36,040,511.39
  5. Step 5: Solve for x
    x = 36,040,511.39/3,933.75
  6. Step 6: Final answer
    x = 9,161.87

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.