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Finding the Third Proportional to 8,282.25 and 17,589.66

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Solution

The third proportional to 8,282.25 and 17,589.66 is: 37,356.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.25 : 17,589.66 = 17,589.66 : x
  2. Step 2: Convert to fraction form
    8,282.25/17,589.66 = 17,589.66/x
  3. Step 3: Cross multiply
    8,282.25x = 17,589.66 × 17,589.66
  4. Step 4: Simplify right side
    8,282.25x = 309,396,006.99
  5. Step 5: Solve for x
    x = 309,396,006.99/8,282.25
  6. Step 6: Final answer
    x = 37,356.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.