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Finding the Third Proportional to 3,827.25 and 6,105.38

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Solution

The third proportional to 3,827.25 and 6,105.38 is: 9,739.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.25 : 6,105.38 = 6,105.38 : x
  2. Step 2: Convert to fraction form
    3,827.25/6,105.38 = 6,105.38/x
  3. Step 3: Cross multiply
    3,827.25x = 6,105.38 × 6,105.38
  4. Step 4: Simplify right side
    3,827.25x = 37,275,603.89
  5. Step 5: Solve for x
    x = 37,275,603.89/3,827.25
  6. Step 6: Final answer
    x = 9,739.53

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.