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Finding the Third Proportional to 8,835.75 and 11,996.44

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Solution

The third proportional to 8,835.75 and 11,996.44 is: 16,287.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,835.75 : 11,996.44 = 11,996.44 : x
  2. Step 2: Convert to fraction form
    8,835.75/11,996.44 = 11,996.44/x
  3. Step 3: Cross multiply
    8,835.75x = 11,996.44 × 11,996.44
  4. Step 4: Simplify right side
    8,835.75x = 143,914,512.69
  5. Step 5: Solve for x
    x = 143,914,512.69/8,835.75
  6. Step 6: Final answer
    x = 16,287.75

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.