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Finding the Third Proportional to 3,603.23 and 7,764.61

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Solution

The third proportional to 3,603.23 and 7,764.61 is: 16,731.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.23 : 7,764.61 = 7,764.61 : x
  2. Step 2: Convert to fraction form
    3,603.23/7,764.61 = 7,764.61/x
  3. Step 3: Cross multiply
    3,603.23x = 7,764.61 × 7,764.61
  4. Step 4: Simplify right side
    3,603.23x = 60,289,158.75
  5. Step 5: Solve for x
    x = 60,289,158.75/3,603.23
  6. Step 6: Final answer
    x = 16,731.96

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.