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Finding the Third Proportional to 2,305.97 and 3,235.78

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Solution

The third proportional to 2,305.97 and 3,235.78 is: 4,540.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.97 : 3,235.78 = 3,235.78 : x
  2. Step 2: Convert to fraction form
    2,305.97/3,235.78 = 3,235.78/x
  3. Step 3: Cross multiply
    2,305.97x = 3,235.78 × 3,235.78
  4. Step 4: Simplify right side
    2,305.97x = 10,470,280.30
  5. Step 5: Solve for x
    x = 10,470,280.30/2,305.97
  6. Step 6: Final answer
    x = 4,540.51

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.