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Finding the Third Proportional to 11,677 and 27,005

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Solution

The third proportional to 11,677 and 27,005 is: 62,453.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677 : 27,005 = 27,005 : x
  2. Step 2: Convert to fraction form
    11,677/27,005 = 27,005/x
  3. Step 3: Cross multiply
    11,677x = 27,005 × 27,005
  4. Step 4: Simplify right side
    11,677x = 729,270,025
  5. Step 5: Solve for x
    x = 729,270,025/11,677
  6. Step 6: Final answer
    x = 62,453.54

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.