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Finding the Third Proportional to 800.06 and 1,252.31

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Solution

The third proportional to 800.06 and 1,252.31 is: 1,960.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.06 : 1,252.31 = 1,252.31 : x
  2. Step 2: Convert to fraction form
    800.06/1,252.31 = 1,252.31/x
  3. Step 3: Cross multiply
    800.06x = 1,252.31 × 1,252.31
  4. Step 4: Simplify right side
    800.06x = 1,568,286.60
  5. Step 5: Solve for x
    x = 1,568,286.60/800.06
  6. Step 6: Final answer
    x = 1,960.21

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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.