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Finding the Third Proportional to 12,834 and 17,325

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Solution

The third proportional to 12,834 and 17,325 is: 23,387.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,834 : 17,325 = 17,325 : x
  2. Step 2: Convert to fraction form
    12,834/17,325 = 17,325/x
  3. Step 3: Cross multiply
    12,834x = 17,325 × 17,325
  4. Step 4: Simplify right side
    12,834x = 300,155,625
  5. Step 5: Solve for x
    x = 300,155,625/12,834
  6. Step 6: Final answer
    x = 23,387.54

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.