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Finding the Third Proportional to 21,702 and 33,193

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Solution

The third proportional to 21,702 and 33,193 is: 50,768.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,702 : 33,193 = 33,193 : x
  2. Step 2: Convert to fraction form
    21,702/33,193 = 33,193/x
  3. Step 3: Cross multiply
    21,702x = 33,193 × 33,193
  4. Step 4: Simplify right side
    21,702x = 1,101,775,249
  5. Step 5: Solve for x
    x = 1,101,775,249/21,702
  6. Step 6: Final answer
    x = 50,768.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.