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Finding the Third Proportional to 5,424 and 8,099

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Solution

The third proportional to 5,424 and 8,099 is: 12,093.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,424 : 8,099 = 8,099 : x
  2. Step 2: Convert to fraction form
    5,424/8,099 = 8,099/x
  3. Step 3: Cross multiply
    5,424x = 8,099 × 8,099
  4. Step 4: Simplify right side
    5,424x = 65,593,801
  5. Step 5: Solve for x
    x = 65,593,801/5,424
  6. Step 6: Final answer
    x = 12,093.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.