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Finding the Third Proportional to 13,863 and 30,494

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Solution

The third proportional to 13,863 and 30,494 is: 67,076.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,863 : 30,494 = 30,494 : x
  2. Step 2: Convert to fraction form
    13,863/30,494 = 30,494/x
  3. Step 3: Cross multiply
    13,863x = 30,494 × 30,494
  4. Step 4: Simplify right side
    13,863x = 929,884,036
  5. Step 5: Solve for x
    x = 929,884,036/13,863
  6. Step 6: Final answer
    x = 67,076.68

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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.