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Finding the Third Proportional to 3,667 and 7,824

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Solution

The third proportional to 3,667 and 7,824 is: 16,693.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667 : 7,824 = 7,824 : x
  2. Step 2: Convert to fraction form
    3,667/7,824 = 7,824/x
  3. Step 3: Cross multiply
    3,667x = 7,824 × 7,824
  4. Step 4: Simplify right side
    3,667x = 61,214,976
  5. Step 5: Solve for x
    x = 61,214,976/3,667
  6. Step 6: Final answer
    x = 16,693.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.