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Finding the Third Proportional to 22,163.31 and 33,166.65

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Solution

The third proportional to 22,163.31 and 33,166.65 is: 49,632.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,163.31 : 33,166.65 = 33,166.65 : x
  2. Step 2: Convert to fraction form
    22,163.31/33,166.65 = 33,166.65/x
  3. Step 3: Cross multiply
    22,163.31x = 33,166.65 × 33,166.65
  4. Step 4: Simplify right side
    22,163.31x = 1,100,026,827.69
  5. Step 5: Solve for x
    x = 1,100,026,827.69/22,163.31
  6. Step 6: Final answer
    x = 49,632.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.