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Finding the Third Proportional to 7,485.05 and 12,474.42

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Solution

The third proportional to 7,485.05 and 12,474.42 is: 20,789.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,485.05 : 12,474.42 = 12,474.42 : x
  2. Step 2: Convert to fraction form
    7,485.05/12,474.42 = 12,474.42/x
  3. Step 3: Cross multiply
    7,485.05x = 12,474.42 × 12,474.42
  4. Step 4: Simplify right side
    7,485.05x = 155,611,201.12
  5. Step 5: Solve for x
    x = 155,611,201.12/7,485.05
  6. Step 6: Final answer
    x = 20,789.61

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.