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Finding the Third Proportional to 43,791 and 67,945

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Solution

The third proportional to 43,791 and 67,945 is: 105,421.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,791 : 67,945 = 67,945 : x
  2. Step 2: Convert to fraction form
    43,791/67,945 = 67,945/x
  3. Step 3: Cross multiply
    43,791x = 67,945 × 67,945
  4. Step 4: Simplify right side
    43,791x = 4,616,523,025
  5. Step 5: Solve for x
    x = 4,616,523,025/43,791
  6. Step 6: Final answer
    x = 105,421.73

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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.