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Finding the Third Proportional to 43,796 and 67,951

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Solution

The third proportional to 43,796 and 67,951 is: 105,428.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,796 : 67,951 = 67,951 : x
  2. Step 2: Convert to fraction form
    43,796/67,951 = 67,951/x
  3. Step 3: Cross multiply
    43,796x = 67,951 × 67,951
  4. Step 4: Simplify right side
    43,796x = 4,617,338,401
  5. Step 5: Solve for x
    x = 4,617,338,401/43,796
  6. Step 6: Final answer
    x = 105,428.31

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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.