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Finding the Third Proportional to 12,722 and 27,325

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Solution

The third proportional to 12,722 and 27,325 is: 58,690.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,722 : 27,325 = 27,325 : x
  2. Step 2: Convert to fraction form
    12,722/27,325 = 27,325/x
  3. Step 3: Cross multiply
    12,722x = 27,325 × 27,325
  4. Step 4: Simplify right side
    12,722x = 746,655,625
  5. Step 5: Solve for x
    x = 746,655,625/12,722
  6. Step 6: Final answer
    x = 58,690.11

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.