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Finding the Third Proportional to 13,968 and 30,744

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Solution

The third proportional to 13,968 and 30,744 is: 67,668.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,968 : 30,744 = 30,744 : x
  2. Step 2: Convert to fraction form
    13,968/30,744 = 30,744/x
  3. Step 3: Cross multiply
    13,968x = 30,744 × 30,744
  4. Step 4: Simplify right side
    13,968x = 945,193,536
  5. Step 5: Solve for x
    x = 945,193,536/13,968
  6. Step 6: Final answer
    x = 67,668.49

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.