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Finding the Third Proportional to 41,163.19 and 49,546.69

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Solution

The third proportional to 41,163.19 and 49,546.69 is: 59,637.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,163.19 : 49,546.69 = 49,546.69 : x
  2. Step 2: Convert to fraction form
    41,163.19/49,546.69 = 49,546.69/x
  3. Step 3: Cross multiply
    41,163.19x = 49,546.69 × 49,546.69
  4. Step 4: Simplify right side
    41,163.19x = 2,454,874,242.22
  5. Step 5: Solve for x
    x = 2,454,874,242.22/41,163.19
  6. Step 6: Final answer
    x = 59,637.61

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.