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Finding the Third Proportional to 1,811 and 2,005

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Solution

The third proportional to 1,811 and 2,005 is: 2,219.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811 : 2,005 = 2,005 : x
  2. Step 2: Convert to fraction form
    1,811/2,005 = 2,005/x
  3. Step 3: Cross multiply
    1,811x = 2,005 × 2,005
  4. Step 4: Simplify right side
    1,811x = 4,020,025
  5. Step 5: Solve for x
    x = 4,020,025/1,811
  6. Step 6: Final answer
    x = 2,219.78

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.