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Finding the Third Proportional to 3,834.84 and 5,067.56

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Solution

The third proportional to 3,834.84 and 5,067.56 is: 6,696.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.84 : 5,067.56 = 5,067.56 : x
  2. Step 2: Convert to fraction form
    3,834.84/5,067.56 = 5,067.56/x
  3. Step 3: Cross multiply
    3,834.84x = 5,067.56 × 5,067.56
  4. Step 4: Simplify right side
    3,834.84x = 25,680,189.69
  5. Step 5: Solve for x
    x = 25,680,189.69/3,834.84
  6. Step 6: Final answer
    x = 6,696.54

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.