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Finding the Third Proportional to 12,411 and 27,279

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Solution

The third proportional to 12,411 and 27,279 is: 59,958.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,411 : 27,279 = 27,279 : x
  2. Step 2: Convert to fraction form
    12,411/27,279 = 27,279/x
  3. Step 3: Cross multiply
    12,411x = 27,279 × 27,279
  4. Step 4: Simplify right side
    12,411x = 744,143,841
  5. Step 5: Solve for x
    x = 744,143,841/12,411
  6. Step 6: Final answer
    x = 59,958.41

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Why These Related Problems?

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