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Finding the Third Proportional to 8,144 and 10,999

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Solution

The third proportional to 8,144 and 10,999 is: 14,854.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144 : 10,999 = 10,999 : x
  2. Step 2: Convert to fraction form
    8,144/10,999 = 10,999/x
  3. Step 3: Cross multiply
    8,144x = 10,999 × 10,999
  4. Step 4: Simplify right side
    8,144x = 120,978,001
  5. Step 5: Solve for x
    x = 120,978,001/8,144
  6. Step 6: Final answer
    x = 14,854.86

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.