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Finding the Third Proportional to 3,840.06 and 6,105.85

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Solution

The third proportional to 3,840.06 and 6,105.85 is: 9,708.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.06 : 6,105.85 = 6,105.85 : x
  2. Step 2: Convert to fraction form
    3,840.06/6,105.85 = 6,105.85/x
  3. Step 3: Cross multiply
    3,840.06x = 6,105.85 × 6,105.85
  4. Step 4: Simplify right side
    3,840.06x = 37,281,399.45
  5. Step 5: Solve for x
    x = 37,281,399.45/3,840.06
  6. Step 6: Final answer
    x = 9,708.53

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.