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Finding the Third Proportional to 12,467 and 27,405

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Solution

The third proportional to 12,467 and 27,405 is: 60,241.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,467 : 27,405 = 27,405 : x
  2. Step 2: Convert to fraction form
    12,467/27,405 = 27,405/x
  3. Step 3: Cross multiply
    12,467x = 27,405 × 27,405
  4. Step 4: Simplify right side
    12,467x = 751,034,025
  5. Step 5: Solve for x
    x = 751,034,025/12,467
  6. Step 6: Final answer
    x = 60,241.76

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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.