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Finding the Third Proportional to 1,494.84 and 3,286.73

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Solution

The third proportional to 1,494.84 and 3,286.73 is: 7,226.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.84 : 3,286.73 = 3,286.73 : x
  2. Step 2: Convert to fraction form
    1,494.84/3,286.73 = 3,286.73/x
  3. Step 3: Cross multiply
    1,494.84x = 3,286.73 × 3,286.73
  4. Step 4: Simplify right side
    1,494.84x = 10,802,622.85
  5. Step 5: Solve for x
    x = 10,802,622.85/1,494.84
  6. Step 6: Final answer
    x = 7,226.59

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.