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Finding the Third Proportional to 8,439 and 10,167

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Solution

The third proportional to 8,439 and 10,167 is: 12,248.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,439 : 10,167 = 10,167 : x
  2. Step 2: Convert to fraction form
    8,439/10,167 = 10,167/x
  3. Step 3: Cross multiply
    8,439x = 10,167 × 10,167
  4. Step 4: Simplify right side
    8,439x = 103,367,889
  5. Step 5: Solve for x
    x = 103,367,889/8,439
  6. Step 6: Final answer
    x = 12,248.83

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.