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Finding the Third Proportional to 22,012 and 33,212

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Solution

The third proportional to 22,012 and 33,212 is: 50,110.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,012 : 33,212 = 33,212 : x
  2. Step 2: Convert to fraction form
    22,012/33,212 = 33,212/x
  3. Step 3: Cross multiply
    22,012x = 33,212 × 33,212
  4. Step 4: Simplify right side
    22,012x = 1,103,036,944
  5. Step 5: Solve for x
    x = 1,103,036,944/22,012
  6. Step 6: Final answer
    x = 50,110.71

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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.