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Finding the Third Proportional to 2,009 and 4,311

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Solution

The third proportional to 2,009 and 4,311 is: 9,250.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009 : 4,311 = 4,311 : x
  2. Step 2: Convert to fraction form
    2,009/4,311 = 4,311/x
  3. Step 3: Cross multiply
    2,009x = 4,311 × 4,311
  4. Step 4: Simplify right side
    2,009x = 18,584,721
  5. Step 5: Solve for x
    x = 18,584,721/2,009
  6. Step 6: Final answer
    x = 9,250.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.