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Finding the Third Proportional to 8,020.27 and 17,452.97

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Solution

The third proportional to 8,020.27 and 17,452.97 is: 37,979.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,020.27 : 17,452.97 = 17,452.97 : x
  2. Step 2: Convert to fraction form
    8,020.27/17,452.97 = 17,452.97/x
  3. Step 3: Cross multiply
    8,020.27x = 17,452.97 × 17,452.97
  4. Step 4: Simplify right side
    8,020.27x = 304,606,118.19
  5. Step 5: Solve for x
    x = 304,606,118.19/8,020.27
  6. Step 6: Final answer
    x = 37,979.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.