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Finding the Third Proportional to 6,942.75 and 11,180.06

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Solution

The third proportional to 6,942.75 and 11,180.06 is: 18,003.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,942.75 : 11,180.06 = 11,180.06 : x
  2. Step 2: Convert to fraction form
    6,942.75/11,180.06 = 11,180.06/x
  3. Step 3: Cross multiply
    6,942.75x = 11,180.06 × 11,180.06
  4. Step 4: Simplify right side
    6,942.75x = 124,993,797.50
  5. Step 5: Solve for x
    x = 124,993,797.50/6,942.75
  6. Step 6: Final answer
    x = 18,003.50

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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.