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Finding the Third Proportional to 1,497.87 and 2,249.65

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Solution

The third proportional to 1,497.87 and 2,249.65 is: 3,378.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.87 : 2,249.65 = 2,249.65 : x
  2. Step 2: Convert to fraction form
    1,497.87/2,249.65 = 2,249.65/x
  3. Step 3: Cross multiply
    1,497.87x = 2,249.65 × 2,249.65
  4. Step 4: Simplify right side
    1,497.87x = 5,060,918.09
  5. Step 5: Solve for x
    x = 5,060,918.09/1,497.87
  6. Step 6: Final answer
    x = 3,378.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.