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Finding the Third Proportional to 41,792 and 89,794

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Solution

The third proportional to 41,792 and 89,794 is: 192,930.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,792 : 89,794 = 89,794 : x
  2. Step 2: Convert to fraction form
    41,792/89,794 = 89,794/x
  3. Step 3: Cross multiply
    41,792x = 89,794 × 89,794
  4. Step 4: Simplify right side
    41,792x = 8,062,962,436
  5. Step 5: Solve for x
    x = 8,062,962,436/41,792
  6. Step 6: Final answer
    x = 192,930.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.