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Finding the Third Proportional to 8,914 and 11,962

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Solution

The third proportional to 8,914 and 11,962 is: 16,052.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,914 : 11,962 = 11,962 : x
  2. Step 2: Convert to fraction form
    8,914/11,962 = 11,962/x
  3. Step 3: Cross multiply
    8,914x = 11,962 × 11,962
  4. Step 4: Simplify right side
    8,914x = 143,089,444
  5. Step 5: Solve for x
    x = 143,089,444/8,914
  6. Step 6: Final answer
    x = 16,052.21

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.