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Finding the Third Proportional to 1,449 and 2,268.75

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Solution

The third proportional to 1,449 and 2,268.75 is: 3,552.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449 : 2,268.75 = 2,268.75 : x
  2. Step 2: Convert to fraction form
    1,449/2,268.75 = 2,268.75/x
  3. Step 3: Cross multiply
    1,449x = 2,268.75 × 2,268.75
  4. Step 4: Simplify right side
    1,449x = 5,147,226.56
  5. Step 5: Solve for x
    x = 5,147,226.56/1,449
  6. Step 6: Final answer
    x = 3,552.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.