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Finding the Third Proportional to 1,651.75 and 2,249.81

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Solution

The third proportional to 1,651.75 and 2,249.81 is: 3,064.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.75 : 2,249.81 = 2,249.81 : x
  2. Step 2: Convert to fraction form
    1,651.75/2,249.81 = 2,249.81/x
  3. Step 3: Cross multiply
    1,651.75x = 2,249.81 × 2,249.81
  4. Step 4: Simplify right side
    1,651.75x = 5,061,656.29
  5. Step 5: Solve for x
    x = 5,061,656.29/1,651.75
  6. Step 6: Final answer
    x = 3,064.42

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.