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Finding the Third Proportional to 23,112 and 33,027

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Solution

The third proportional to 23,112 and 33,027 is: 47,195.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,112 : 33,027 = 33,027 : x
  2. Step 2: Convert to fraction form
    23,112/33,027 = 33,027/x
  3. Step 3: Cross multiply
    23,112x = 33,027 × 33,027
  4. Step 4: Simplify right side
    23,112x = 1,090,782,729
  5. Step 5: Solve for x
    x = 1,090,782,729/23,112
  6. Step 6: Final answer
    x = 47,195.51

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.