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Finding the Third Proportional to 12,401 and 27,259

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Solution

The third proportional to 12,401 and 27,259 is: 59,918.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,401 : 27,259 = 27,259 : x
  2. Step 2: Convert to fraction form
    12,401/27,259 = 27,259/x
  3. Step 3: Cross multiply
    12,401x = 27,259 × 27,259
  4. Step 4: Simplify right side
    12,401x = 743,053,081
  5. Step 5: Solve for x
    x = 743,053,081/12,401
  6. Step 6: Final answer
    x = 59,918.80

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.