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Finding the Third Proportional to 5,188 and 11,906

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Solution

The third proportional to 5,188 and 11,906 is: 27,323.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188 : 11,906 = 11,906 : x
  2. Step 2: Convert to fraction form
    5,188/11,906 = 11,906/x
  3. Step 3: Cross multiply
    5,188x = 11,906 × 11,906
  4. Step 4: Simplify right side
    5,188x = 141,752,836
  5. Step 5: Solve for x
    x = 141,752,836/5,188
  6. Step 6: Final answer
    x = 27,323.21

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.