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Finding the Third Proportional to 3,190.50 and 6,927.75

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Solution

The third proportional to 3,190.50 and 6,927.75 is: 15,042.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.50 : 6,927.75 = 6,927.75 : x
  2. Step 2: Convert to fraction form
    3,190.50/6,927.75 = 6,927.75/x
  3. Step 3: Cross multiply
    3,190.50x = 6,927.75 × 6,927.75
  4. Step 4: Simplify right side
    3,190.50x = 47,993,720.06
  5. Step 5: Solve for x
    x = 47,993,720.06/3,190.50
  6. Step 6: Final answer
    x = 15,042.70

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.