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Finding the Third Proportional to 6,787 and 10,167

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Solution

The third proportional to 6,787 and 10,167 is: 15,230.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,787 : 10,167 = 10,167 : x
  2. Step 2: Convert to fraction form
    6,787/10,167 = 10,167/x
  3. Step 3: Cross multiply
    6,787x = 10,167 × 10,167
  4. Step 4: Simplify right side
    6,787x = 103,367,889
  5. Step 5: Solve for x
    x = 103,367,889/6,787
  6. Step 6: Final answer
    x = 15,230.28

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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.