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Finding the Third Proportional to 22,102 and 33,170

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Solution

The third proportional to 22,102 and 33,170 is: 49,780.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,102 : 33,170 = 33,170 : x
  2. Step 2: Convert to fraction form
    22,102/33,170 = 33,170/x
  3. Step 3: Cross multiply
    22,102x = 33,170 × 33,170
  4. Step 4: Simplify right side
    22,102x = 1,100,248,900
  5. Step 5: Solve for x
    x = 1,100,248,900/22,102
  6. Step 6: Final answer
    x = 49,780.51

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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.