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Finding the Third Proportional to 3,864.38 and 5,813.44

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Solution

The third proportional to 3,864.38 and 5,813.44 is: 8,745.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.38 : 5,813.44 = 5,813.44 : x
  2. Step 2: Convert to fraction form
    3,864.38/5,813.44 = 5,813.44/x
  3. Step 3: Cross multiply
    3,864.38x = 5,813.44 × 5,813.44
  4. Step 4: Simplify right side
    3,864.38x = 33,796,055.57
  5. Step 5: Solve for x
    x = 33,796,055.57/3,864.38
  6. Step 6: Final answer
    x = 8,745.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.