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Finding the Third Proportional to 22,017 and 33,027

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Solution

The third proportional to 22,017 and 33,027 is: 49,542.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,017 : 33,027 = 33,027 : x
  2. Step 2: Convert to fraction form
    22,017/33,027 = 33,027/x
  3. Step 3: Cross multiply
    22,017x = 33,027 × 33,027
  4. Step 4: Simplify right side
    22,017x = 1,090,782,729
  5. Step 5: Solve for x
    x = 1,090,782,729/22,017
  6. Step 6: Final answer
    x = 49,542.75

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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.