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Finding the Third Proportional to 22,100 and 33,471

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Solution

The third proportional to 22,100 and 33,471 is: 50,692.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,100 : 33,471 = 33,471 : x
  2. Step 2: Convert to fraction form
    22,100/33,471 = 33,471/x
  3. Step 3: Cross multiply
    22,100x = 33,471 × 33,471
  4. Step 4: Simplify right side
    22,100x = 1,120,307,841
  5. Step 5: Solve for x
    x = 1,120,307,841/22,100
  6. Step 6: Final answer
    x = 50,692.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.