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Finding the Third Proportional to 6,794 and 10,191

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Solution

The third proportional to 6,794 and 10,191 is: 15,286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794 : 10,191 = 10,191 : x
  2. Step 2: Convert to fraction form
    6,794/10,191 = 10,191/x
  3. Step 3: Cross multiply
    6,794x = 10,191 × 10,191
  4. Step 4: Simplify right side
    6,794x = 103,856,481
  5. Step 5: Solve for x
    x = 103,856,481/6,794
  6. Step 6: Final answer
    x = 15,286.50

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.