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Finding the Third Proportional to 11,906.75 and 17,968.13

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Solution

The third proportional to 11,906.75 and 17,968.13 is: 27,115.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.75 : 17,968.13 = 17,968.13 : x
  2. Step 2: Convert to fraction form
    11,906.75/17,968.13 = 17,968.13/x
  3. Step 3: Cross multiply
    11,906.75x = 17,968.13 × 17,968.13
  4. Step 4: Simplify right side
    11,906.75x = 322,853,516.02
  5. Step 5: Solve for x
    x = 322,853,516.02/11,906.75
  6. Step 6: Final answer
    x = 27,115.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.