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Finding the Third Proportional to 1,250.44 and 1,891.27

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Solution

The third proportional to 1,250.44 and 1,891.27 is: 2,860.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.44 : 1,891.27 = 1,891.27 : x
  2. Step 2: Convert to fraction form
    1,250.44/1,891.27 = 1,891.27/x
  3. Step 3: Cross multiply
    1,250.44x = 1,891.27 × 1,891.27
  4. Step 4: Simplify right side
    1,250.44x = 3,576,885.66
  5. Step 5: Solve for x
    x = 3,576,885.66/1,250.44
  6. Step 6: Final answer
    x = 2,860.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.