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Finding the Third Proportional to 8,105.80 and 17,422.49

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Solution

The third proportional to 8,105.80 and 17,422.49 is: 37,447.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,105.80 : 17,422.49 = 17,422.49 : x
  2. Step 2: Convert to fraction form
    8,105.80/17,422.49 = 17,422.49/x
  3. Step 3: Cross multiply
    8,105.80x = 17,422.49 × 17,422.49
  4. Step 4: Simplify right side
    8,105.80x = 303,543,097.91
  5. Step 5: Solve for x
    x = 303,543,097.91/8,105.80
  6. Step 6: Final answer
    x = 37,447.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.