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Finding the Third Proportional to 2,500.03 and 3,286.83

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Solution

The third proportional to 2,500.03 and 3,286.83 is: 4,321.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500.03 : 3,286.83 = 3,286.83 : x
  2. Step 2: Convert to fraction form
    2,500.03/3,286.83 = 3,286.83/x
  3. Step 3: Cross multiply
    2,500.03x = 3,286.83 × 3,286.83
  4. Step 4: Simplify right side
    2,500.03x = 10,803,239.12
  5. Step 5: Solve for x
    x = 10,803,239.12/2,500.03
  6. Step 6: Final answer
    x = 4,321.24

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.