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Finding the Third Proportional to 2,009 and 4,451

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Solution

The third proportional to 2,009 and 4,451 is: 9,861.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009 : 4,451 = 4,451 : x
  2. Step 2: Convert to fraction form
    2,009/4,451 = 4,451/x
  3. Step 3: Cross multiply
    2,009x = 4,451 × 4,451
  4. Step 4: Simplify right side
    2,009x = 19,811,401
  5. Step 5: Solve for x
    x = 19,811,401/2,009
  6. Step 6: Final answer
    x = 9,861.32

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.