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Finding the Third Proportional to 27,686 and 41,601

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Solution

The third proportional to 27,686 and 41,601 is: 62,509.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,686 : 41,601 = 41,601 : x
  2. Step 2: Convert to fraction form
    27,686/41,601 = 41,601/x
  3. Step 3: Cross multiply
    27,686x = 41,601 × 41,601
  4. Step 4: Simplify right side
    27,686x = 1,730,643,201
  5. Step 5: Solve for x
    x = 1,730,643,201/27,686
  6. Step 6: Final answer
    x = 62,509.69

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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.