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Finding the Third Proportional to 3,896.25 and 6,267.38

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Solution

The third proportional to 3,896.25 and 6,267.38 is: 10,081.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.25 : 6,267.38 = 6,267.38 : x
  2. Step 2: Convert to fraction form
    3,896.25/6,267.38 = 6,267.38/x
  3. Step 3: Cross multiply
    3,896.25x = 6,267.38 × 6,267.38
  4. Step 4: Simplify right side
    3,896.25x = 39,279,989.39
  5. Step 5: Solve for x
    x = 39,279,989.39/3,896.25
  6. Step 6: Final answer
    x = 10,081.49

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.