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Finding the Third Proportional to 6,806 and 10,027

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Solution

The third proportional to 6,806 and 10,027 is: 14,772.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806 : 10,027 = 10,027 : x
  2. Step 2: Convert to fraction form
    6,806/10,027 = 10,027/x
  3. Step 3: Cross multiply
    6,806x = 10,027 × 10,027
  4. Step 4: Simplify right side
    6,806x = 100,540,729
  5. Step 5: Solve for x
    x = 100,540,729/6,806
  6. Step 6: Final answer
    x = 14,772.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.