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Finding the Third Proportional to 8,179.50 and 17,667

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Solution

The third proportional to 8,179.50 and 17,667 is: 38,159.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,179.50 : 17,667 = 17,667 : x
  2. Step 2: Convert to fraction form
    8,179.50/17,667 = 17,667/x
  3. Step 3: Cross multiply
    8,179.50x = 17,667 × 17,667
  4. Step 4: Simplify right side
    8,179.50x = 312,122,889
  5. Step 5: Solve for x
    x = 312,122,889/8,179.50
  6. Step 6: Final answer
    x = 38,159.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.