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Finding the Third Proportional to 6,809 and 7,793

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Solution

The third proportional to 6,809 and 7,793 is: 8,919.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809 : 7,793 = 7,793 : x
  2. Step 2: Convert to fraction form
    6,809/7,793 = 7,793/x
  3. Step 3: Cross multiply
    6,809x = 7,793 × 7,793
  4. Step 4: Simplify right side
    6,809x = 60,730,849
  5. Step 5: Solve for x
    x = 60,730,849/6,809
  6. Step 6: Final answer
    x = 8,919.20

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.