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Finding the Third Proportional to 3,227.50 and 7,069.75

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Solution

The third proportional to 3,227.50 and 7,069.75 is: 15,486.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.50 : 7,069.75 = 7,069.75 : x
  2. Step 2: Convert to fraction form
    3,227.50/7,069.75 = 7,069.75/x
  3. Step 3: Cross multiply
    3,227.50x = 7,069.75 × 7,069.75
  4. Step 4: Simplify right side
    3,227.50x = 49,981,365.06
  5. Step 5: Solve for x
    x = 49,981,365.06/3,227.50
  6. Step 6: Final answer
    x = 15,486.09

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.