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Finding the Third Proportional to 3,969.56 and 5,835.56

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Solution

The third proportional to 3,969.56 and 5,835.56 is: 8,578.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.56 : 5,835.56 = 5,835.56 : x
  2. Step 2: Convert to fraction form
    3,969.56/5,835.56 = 5,835.56/x
  3. Step 3: Cross multiply
    3,969.56x = 5,835.56 × 5,835.56
  4. Step 4: Simplify right side
    3,969.56x = 34,053,789.69
  5. Step 5: Solve for x
    x = 34,053,789.69/3,969.56
  6. Step 6: Final answer
    x = 8,578.73

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.