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Finding the Third Proportional to 8,015.20 and 17,414.37

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Solution

The third proportional to 8,015.20 and 17,414.37 is: 37,835.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,015.20 : 17,414.37 = 17,414.37 : x
  2. Step 2: Convert to fraction form
    8,015.20/17,414.37 = 17,414.37/x
  3. Step 3: Cross multiply
    8,015.20x = 17,414.37 × 17,414.37
  4. Step 4: Simplify right side
    8,015.20x = 303,260,184.54
  5. Step 5: Solve for x
    x = 303,260,184.54/8,015.20
  6. Step 6: Final answer
    x = 37,835.62

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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.