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Finding the Third Proportional to 3,726.38 and 7,896.38

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Solution

The third proportional to 3,726.38 and 7,896.38 is: 16,732.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.38 : 7,896.38 = 7,896.38 : x
  2. Step 2: Convert to fraction form
    3,726.38/7,896.38 = 7,896.38/x
  3. Step 3: Cross multiply
    3,726.38x = 7,896.38 × 7,896.38
  4. Step 4: Simplify right side
    3,726.38x = 62,352,738.14
  5. Step 5: Solve for x
    x = 62,352,738.14/3,726.38
  6. Step 6: Final answer
    x = 16,732.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.