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Finding the Third Proportional to 4,186.05 and 5,928.82

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Solution

The third proportional to 4,186.05 and 5,928.82 is: 8,397.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,186.05 : 5,928.82 = 5,928.82 : x
  2. Step 2: Convert to fraction form
    4,186.05/5,928.82 = 5,928.82/x
  3. Step 3: Cross multiply
    4,186.05x = 5,928.82 × 5,928.82
  4. Step 4: Simplify right side
    4,186.05x = 35,150,910.30
  5. Step 5: Solve for x
    x = 35,150,910.30/4,186.05
  6. Step 6: Final answer
    x = 8,397.15

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.