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Finding the Third Proportional to 7,198.88 and 10,910.53

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Solution

The third proportional to 7,198.88 and 10,910.53 is: 16,535.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.88 : 10,910.53 = 10,910.53 : x
  2. Step 2: Convert to fraction form
    7,198.88/10,910.53 = 10,910.53/x
  3. Step 3: Cross multiply
    7,198.88x = 10,910.53 × 10,910.53
  4. Step 4: Simplify right side
    7,198.88x = 119,039,692.16
  5. Step 5: Solve for x
    x = 119,039,692.16/7,198.88
  6. Step 6: Final answer
    x = 16,535.87

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.