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Finding the Third Proportional to 6,831 and 9,271

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Solution

The third proportional to 6,831 and 9,271 is: 12,582.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831 : 9,271 = 9,271 : x
  2. Step 2: Convert to fraction form
    6,831/9,271 = 9,271/x
  3. Step 3: Cross multiply
    6,831x = 9,271 × 9,271
  4. Step 4: Simplify right side
    6,831x = 85,951,441
  5. Step 5: Solve for x
    x = 85,951,441/6,831
  6. Step 6: Final answer
    x = 12,582.56

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.