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Finding the Third Proportional to 5,150 and 11,099

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Solution

The third proportional to 5,150 and 11,099 is: 23,919.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,150 : 11,099 = 11,099 : x
  2. Step 2: Convert to fraction form
    5,150/11,099 = 11,099/x
  3. Step 3: Cross multiply
    5,150x = 11,099 × 11,099
  4. Step 4: Simplify right side
    5,150x = 123,187,801
  5. Step 5: Solve for x
    x = 123,187,801/5,150
  6. Step 6: Final answer
    x = 23,919.96

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.