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Finding the Third Proportional to 27,166 and 40,930

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Solution

The third proportional to 27,166 and 40,930 is: 61,667.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,166 : 40,930 = 40,930 : x
  2. Step 2: Convert to fraction form
    27,166/40,930 = 40,930/x
  3. Step 3: Cross multiply
    27,166x = 40,930 × 40,930
  4. Step 4: Simplify right side
    27,166x = 1,675,264,900
  5. Step 5: Solve for x
    x = 1,675,264,900/27,166
  6. Step 6: Final answer
    x = 61,667.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.