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Finding the Third Proportional to 3,736.13 and 4,163.27

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Solution

The third proportional to 3,736.13 and 4,163.27 is: 4,639.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736.13 : 4,163.27 = 4,163.27 : x
  2. Step 2: Convert to fraction form
    3,736.13/4,163.27 = 4,163.27/x
  3. Step 3: Cross multiply
    3,736.13x = 4,163.27 × 4,163.27
  4. Step 4: Simplify right side
    3,736.13x = 17,332,845.72
  5. Step 5: Solve for x
    x = 17,332,845.72/3,736.13
  6. Step 6: Final answer
    x = 4,639.26

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.