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Finding the Third Proportional to 22,828 and 34,170

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Solution

The third proportional to 22,828 and 34,170 is: 51,147.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,828 : 34,170 = 34,170 : x
  2. Step 2: Convert to fraction form
    22,828/34,170 = 34,170/x
  3. Step 3: Cross multiply
    22,828x = 34,170 × 34,170
  4. Step 4: Simplify right side
    22,828x = 1,167,588,900
  5. Step 5: Solve for x
    x = 1,167,588,900/22,828
  6. Step 6: Final answer
    x = 51,147.23

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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.