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Finding the Third Proportional to 8,021 and 11,667

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Solution

The third proportional to 8,021 and 11,667 is: 16,970.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,021 : 11,667 = 11,667 : x
  2. Step 2: Convert to fraction form
    8,021/11,667 = 11,667/x
  3. Step 3: Cross multiply
    8,021x = 11,667 × 11,667
  4. Step 4: Simplify right side
    8,021x = 136,118,889
  5. Step 5: Solve for x
    x = 136,118,889/8,021
  6. Step 6: Final answer
    x = 16,970.31

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.