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Finding the Third Proportional to 43,792 and 67,947

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Solution

The third proportional to 43,792 and 67,947 is: 105,425.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,792 : 67,947 = 67,947 : x
  2. Step 2: Convert to fraction form
    43,792/67,947 = 67,947/x
  3. Step 3: Cross multiply
    43,792x = 67,947 × 67,947
  4. Step 4: Simplify right side
    43,792x = 4,616,794,809
  5. Step 5: Solve for x
    x = 4,616,794,809/43,792
  6. Step 6: Final answer
    x = 105,425.53

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.