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Finding the Third Proportional to 827.44 and 1,282.22

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Solution

The third proportional to 827.44 and 1,282.22 is: 1,986.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.44 : 1,282.22 = 1,282.22 : x
  2. Step 2: Convert to fraction form
    827.44/1,282.22 = 1,282.22/x
  3. Step 3: Cross multiply
    827.44x = 1,282.22 × 1,282.22
  4. Step 4: Simplify right side
    827.44x = 1,644,084.92
  5. Step 5: Solve for x
    x = 1,644,084.92/827.44
  6. Step 6: Final answer
    x = 1,986.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.