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Finding the Third Proportional to 22,163 and 33,169

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Solution

The third proportional to 22,163 and 33,169 is: 49,640.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,163 : 33,169 = 33,169 : x
  2. Step 2: Convert to fraction form
    22,163/33,169 = 33,169/x
  3. Step 3: Cross multiply
    22,163x = 33,169 × 33,169
  4. Step 4: Simplify right side
    22,163x = 1,100,182,561
  5. Step 5: Solve for x
    x = 1,100,182,561/22,163
  6. Step 6: Final answer
    x = 49,640.51

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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.