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Finding the Third Proportional to 1,811 and 1,973

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Solution

The third proportional to 1,811 and 1,973 is: 2,149.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811 : 1,973 = 1,973 : x
  2. Step 2: Convert to fraction form
    1,811/1,973 = 1,973/x
  3. Step 3: Cross multiply
    1,811x = 1,973 × 1,973
  4. Step 4: Simplify right side
    1,811x = 3,892,729
  5. Step 5: Solve for x
    x = 3,892,729/1,811
  6. Step 6: Final answer
    x = 2,149.49

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.