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Finding the Third Proportional to 2,836.27 and 5,266.27

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Solution

The third proportional to 2,836.27 and 5,266.27 is: 9,778.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,836.27 : 5,266.27 = 5,266.27 : x
  2. Step 2: Convert to fraction form
    2,836.27/5,266.27 = 5,266.27/x
  3. Step 3: Cross multiply
    2,836.27x = 5,266.27 × 5,266.27
  4. Step 4: Simplify right side
    2,836.27x = 27,733,553.63
  5. Step 5: Solve for x
    x = 27,733,553.63/2,836.27
  6. Step 6: Final answer
    x = 9,778.19

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.