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Finding the Third Proportional to 3,571.28 and 7,834.85

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Solution

The third proportional to 3,571.28 and 7,834.85 is: 17,188.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,571.28 : 7,834.85 = 7,834.85 : x
  2. Step 2: Convert to fraction form
    3,571.28/7,834.85 = 7,834.85/x
  3. Step 3: Cross multiply
    3,571.28x = 7,834.85 × 7,834.85
  4. Step 4: Simplify right side
    3,571.28x = 61,384,899.01
  5. Step 5: Solve for x
    x = 61,384,899.01/3,571.28
  6. Step 6: Final answer
    x = 17,188.50

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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.