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Finding the Third Proportional to 1,344.73 and 2,786.27

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Solution

The third proportional to 1,344.73 and 2,786.27 is: 5,773.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.73 : 2,786.27 = 2,786.27 : x
  2. Step 2: Convert to fraction form
    1,344.73/2,786.27 = 2,786.27/x
  3. Step 3: Cross multiply
    1,344.73x = 2,786.27 × 2,786.27
  4. Step 4: Simplify right side
    1,344.73x = 7,763,319.67
  5. Step 5: Solve for x
    x = 7,763,319.67/1,344.73
  6. Step 6: Final answer
    x = 5,773.16

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.