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Finding the Third Proportional to 22,001 and 33,190

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Solution

The third proportional to 22,001 and 33,190 is: 50,069.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,001 : 33,190 = 33,190 : x
  2. Step 2: Convert to fraction form
    22,001/33,190 = 33,190/x
  3. Step 3: Cross multiply
    22,001x = 33,190 × 33,190
  4. Step 4: Simplify right side
    22,001x = 1,101,576,100
  5. Step 5: Solve for x
    x = 1,101,576,100/22,001
  6. Step 6: Final answer
    x = 50,069.37

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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.