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Finding the Third Proportional to 22,045 and 33,266

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Solution

The third proportional to 22,045 and 33,266 is: 50,198.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,045 : 33,266 = 33,266 : x
  2. Step 2: Convert to fraction form
    22,045/33,266 = 33,266/x
  3. Step 3: Cross multiply
    22,045x = 33,266 × 33,266
  4. Step 4: Simplify right side
    22,045x = 1,106,626,756
  5. Step 5: Solve for x
    x = 1,106,626,756/22,045
  6. Step 6: Final answer
    x = 50,198.54

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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.