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Finding the Third Proportional to 22,165.50 and 33,171

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Solution

The third proportional to 22,165.50 and 33,171 is: 49,640.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,165.50 : 33,171 = 33,171 : x
  2. Step 2: Convert to fraction form
    22,165.50/33,171 = 33,171/x
  3. Step 3: Cross multiply
    22,165.50x = 33,171 × 33,171
  4. Step 4: Simplify right side
    22,165.50x = 1,100,315,241
  5. Step 5: Solve for x
    x = 1,100,315,241/22,165.50
  6. Step 6: Final answer
    x = 49,640.89

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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.