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Finding the Third Proportional to 27,680 and 41,592

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Solution

The third proportional to 27,680 and 41,592 is: 62,496.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,680 : 41,592 = 41,592 : x
  2. Step 2: Convert to fraction form
    27,680/41,592 = 41,592/x
  3. Step 3: Cross multiply
    27,680x = 41,592 × 41,592
  4. Step 4: Simplify right side
    27,680x = 1,729,894,464
  5. Step 5: Solve for x
    x = 1,729,894,464/27,680
  6. Step 6: Final answer
    x = 62,496.19

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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.