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Finding the Third Proportional to 3,543 and 8,227.50

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Solution

The third proportional to 3,543 and 8,227.50 is: 19,105.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543 : 8,227.50 = 8,227.50 : x
  2. Step 2: Convert to fraction form
    3,543/8,227.50 = 8,227.50/x
  3. Step 3: Cross multiply
    3,543x = 8,227.50 × 8,227.50
  4. Step 4: Simplify right side
    3,543x = 67,691,756.25
  5. Step 5: Solve for x
    x = 67,691,756.25/3,543
  6. Step 6: Final answer
    x = 19,105.77

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.