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Finding the Third Proportional to 11,814 and 27,324

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Solution

The third proportional to 11,814 and 27,324 is: 63,196.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814 : 27,324 = 27,324 : x
  2. Step 2: Convert to fraction form
    11,814/27,324 = 27,324/x
  3. Step 3: Cross multiply
    11,814x = 27,324 × 27,324
  4. Step 4: Simplify right side
    11,814x = 746,600,976
  5. Step 5: Solve for x
    x = 746,600,976/11,814
  6. Step 6: Final answer
    x = 63,196.29

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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.