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Finding the Third Proportional to 27,479 and 41,108

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Solution

The third proportional to 27,479 and 41,108 is: 61,496.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,479 : 41,108 = 41,108 : x
  2. Step 2: Convert to fraction form
    27,479/41,108 = 41,108/x
  3. Step 3: Cross multiply
    27,479x = 41,108 × 41,108
  4. Step 4: Simplify right side
    27,479x = 1,689,867,664
  5. Step 5: Solve for x
    x = 1,689,867,664/27,479
  6. Step 6: Final answer
    x = 61,496.69

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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.