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Finding the Third Proportional to 22,150 and 33,163

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Solution

The third proportional to 22,150 and 33,163 is: 49,651.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,150 : 33,163 = 33,163 : x
  2. Step 2: Convert to fraction form
    22,150/33,163 = 33,163/x
  3. Step 3: Cross multiply
    22,150x = 33,163 × 33,163
  4. Step 4: Simplify right side
    22,150x = 1,099,784,569
  5. Step 5: Solve for x
    x = 1,099,784,569/22,150
  6. Step 6: Final answer
    x = 49,651.67

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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.