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Finding the Third Proportional to 17,667 and 27,229.50

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Solution

The third proportional to 17,667 and 27,229.50 is: 41,967.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,667 : 27,229.50 = 27,229.50 : x
  2. Step 2: Convert to fraction form
    17,667/27,229.50 = 27,229.50/x
  3. Step 3: Cross multiply
    17,667x = 27,229.50 × 27,229.50
  4. Step 4: Simplify right side
    17,667x = 741,445,670.25
  5. Step 5: Solve for x
    x = 741,445,670.25/17,667
  6. Step 6: Final answer
    x = 41,967.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.