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Finding the Third Proportional to 22,826 and 34,167

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Solution

The third proportional to 22,826 and 34,167 is: 51,142.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,826 : 34,167 = 34,167 : x
  2. Step 2: Convert to fraction form
    22,826/34,167 = 34,167/x
  3. Step 3: Cross multiply
    22,826x = 34,167 × 34,167
  4. Step 4: Simplify right side
    22,826x = 1,167,383,889
  5. Step 5: Solve for x
    x = 1,167,383,889/22,826
  6. Step 6: Final answer
    x = 51,142.73

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