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Finding the Third Proportional to 11,667 and 25,206

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Solution

The third proportional to 11,667 and 25,206 is: 54,456.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,667 : 25,206 = 25,206 : x
  2. Step 2: Convert to fraction form
    11,667/25,206 = 25,206/x
  3. Step 3: Cross multiply
    11,667x = 25,206 × 25,206
  4. Step 4: Simplify right side
    11,667x = 635,342,436
  5. Step 5: Solve for x
    x = 635,342,436/11,667
  6. Step 6: Final answer
    x = 54,456.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.