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Finding the Third Proportional to 22,126 and 33,191

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Solution

The third proportional to 22,126 and 33,191 is: 49,789.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,126 : 33,191 = 33,191 : x
  2. Step 2: Convert to fraction form
    22,126/33,191 = 33,191/x
  3. Step 3: Cross multiply
    22,126x = 33,191 × 33,191
  4. Step 4: Simplify right side
    22,126x = 1,101,642,481
  5. Step 5: Solve for x
    x = 1,101,642,481/22,126
  6. Step 6: Final answer
    x = 49,789.50

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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.