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Finding the Third Proportional to 3,674.98 and 8,081.53

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Solution

The third proportional to 3,674.98 and 8,081.53 is: 17,771.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.98 : 8,081.53 = 8,081.53 : x
  2. Step 2: Convert to fraction form
    3,674.98/8,081.53 = 8,081.53/x
  3. Step 3: Cross multiply
    3,674.98x = 8,081.53 × 8,081.53
  4. Step 4: Simplify right side
    3,674.98x = 65,311,147.34
  5. Step 5: Solve for x
    x = 65,311,147.34/3,674.98
  6. Step 6: Final answer
    x = 17,771.85

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.