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Finding the Third Proportional to 3,997.27 and 6,256.83

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Solution

The third proportional to 3,997.27 and 6,256.83 is: 9,793.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.27 : 6,256.83 = 6,256.83 : x
  2. Step 2: Convert to fraction form
    3,997.27/6,256.83 = 6,256.83/x
  3. Step 3: Cross multiply
    3,997.27x = 6,256.83 × 6,256.83
  4. Step 4: Simplify right side
    3,997.27x = 39,147,898.19
  5. Step 5: Solve for x
    x = 39,147,898.19/3,997.27
  6. Step 6: Final answer
    x = 9,793.67

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.