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Finding the Third Proportional to 11,814 and 27,195

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Solution

The third proportional to 11,814 and 27,195 is: 62,600.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814 : 27,195 = 27,195 : x
  2. Step 2: Convert to fraction form
    11,814/27,195 = 27,195/x
  3. Step 3: Cross multiply
    11,814x = 27,195 × 27,195
  4. Step 4: Simplify right side
    11,814x = 739,568,025
  5. Step 5: Solve for x
    x = 739,568,025/11,814
  6. Step 6: Final answer
    x = 62,600.98

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.