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Finding the Third Proportional to 16,096 and 24,112

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Solution

The third proportional to 16,096 and 24,112 is: 36,120.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,096 : 24,112 = 24,112 : x
  2. Step 2: Convert to fraction form
    16,096/24,112 = 24,112/x
  3. Step 3: Cross multiply
    16,096x = 24,112 × 24,112
  4. Step 4: Simplify right side
    16,096x = 581,388,544
  5. Step 5: Solve for x
    x = 581,388,544/16,096
  6. Step 6: Final answer
    x = 36,120.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.