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Finding the Third Proportional to 6,940.50 and 11,199.75

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Solution

The third proportional to 6,940.50 and 11,199.75 is: 18,072.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.50 : 11,199.75 = 11,199.75 : x
  2. Step 2: Convert to fraction form
    6,940.50/11,199.75 = 11,199.75/x
  3. Step 3: Cross multiply
    6,940.50x = 11,199.75 × 11,199.75
  4. Step 4: Simplify right side
    6,940.50x = 125,434,400.06
  5. Step 5: Solve for x
    x = 125,434,400.06/6,940.50
  6. Step 6: Final answer
    x = 18,072.82

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.