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Finding the Third Proportional to 8,034.19 and 17,299.41

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Solution

The third proportional to 8,034.19 and 17,299.41 is: 37,249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.19 : 17,299.41 = 17,299.41 : x
  2. Step 2: Convert to fraction form
    8,034.19/17,299.41 = 17,299.41/x
  3. Step 3: Cross multiply
    8,034.19x = 17,299.41 × 17,299.41
  4. Step 4: Simplify right side
    8,034.19x = 299,269,456.60
  5. Step 5: Solve for x
    x = 299,269,456.60/8,034.19
  6. Step 6: Final answer
    x = 37,249.50

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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.