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Finding the Third Proportional to 2,884 and 6,667

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Solution

The third proportional to 2,884 and 6,667 is: 15,412.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884 : 6,667 = 6,667 : x
  2. Step 2: Convert to fraction form
    2,884/6,667 = 6,667/x
  3. Step 3: Cross multiply
    2,884x = 6,667 × 6,667
  4. Step 4: Simplify right side
    2,884x = 44,448,889
  5. Step 5: Solve for x
    x = 44,448,889/2,884
  6. Step 6: Final answer
    x = 15,412.24

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.