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Finding the Third Proportional to 8,324.65 and 18,033.89

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Solution

The third proportional to 8,324.65 and 18,033.89 is: 39,067.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.65 : 18,033.89 = 18,033.89 : x
  2. Step 2: Convert to fraction form
    8,324.65/18,033.89 = 18,033.89/x
  3. Step 3: Cross multiply
    8,324.65x = 18,033.89 × 18,033.89
  4. Step 4: Simplify right side
    8,324.65x = 325,221,211.07
  5. Step 5: Solve for x
    x = 325,221,211.07/8,324.65
  6. Step 6: Final answer
    x = 39,067.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.