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Finding the Third Proportional to 43,828 and 67,792

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Solution

The third proportional to 43,828 and 67,792 is: 104,858.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,828 : 67,792 = 67,792 : x
  2. Step 2: Convert to fraction form
    43,828/67,792 = 67,792/x
  3. Step 3: Cross multiply
    43,828x = 67,792 × 67,792
  4. Step 4: Simplify right side
    43,828x = 4,595,755,264
  5. Step 5: Solve for x
    x = 4,595,755,264/43,828
  6. Step 6: Final answer
    x = 104,858.89

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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.