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Finding the Third Proportional to 27,250 and 41,667

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Solution

The third proportional to 27,250 and 41,667 is: 63,711.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,250 : 41,667 = 41,667 : x
  2. Step 2: Convert to fraction form
    27,250/41,667 = 41,667/x
  3. Step 3: Cross multiply
    27,250x = 41,667 × 41,667
  4. Step 4: Simplify right side
    27,250x = 1,736,138,889
  5. Step 5: Solve for x
    x = 1,736,138,889/27,250
  6. Step 6: Final answer
    x = 63,711.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.