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Finding the Third Proportional to 6,198.75 and 13,450.50

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Solution

The third proportional to 6,198.75 and 13,450.50 is: 29,185.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.75 : 13,450.50 = 13,450.50 : x
  2. Step 2: Convert to fraction form
    6,198.75/13,450.50 = 13,450.50/x
  3. Step 3: Cross multiply
    6,198.75x = 13,450.50 × 13,450.50
  4. Step 4: Simplify right side
    6,198.75x = 180,915,950.25
  5. Step 5: Solve for x
    x = 180,915,950.25/6,198.75
  6. Step 6: Final answer
    x = 29,185.88

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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.