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Finding the Third Proportional to 2,205.98 and 3,238.73

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Solution

The third proportional to 2,205.98 and 3,238.73 is: 4,754.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.98 : 3,238.73 = 3,238.73 : x
  2. Step 2: Convert to fraction form
    2,205.98/3,238.73 = 3,238.73/x
  3. Step 3: Cross multiply
    2,205.98x = 3,238.73 × 3,238.73
  4. Step 4: Simplify right side
    2,205.98x = 10,489,400.35
  5. Step 5: Solve for x
    x = 10,489,400.35/2,205.98
  6. Step 6: Final answer
    x = 4,754.97

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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.