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Finding the Third Proportional to 3,415.50 and 7,198.03

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Solution

The third proportional to 3,415.50 and 7,198.03 is: 15,169.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.50 : 7,198.03 = 7,198.03 : x
  2. Step 2: Convert to fraction form
    3,415.50/7,198.03 = 7,198.03/x
  3. Step 3: Cross multiply
    3,415.50x = 7,198.03 × 7,198.03
  4. Step 4: Simplify right side
    3,415.50x = 51,811,653.88
  5. Step 5: Solve for x
    x = 51,811,653.88/3,415.50
  6. Step 6: Final answer
    x = 15,169.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.