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Finding the Third Proportional to 6,039.56 and 13,305.09

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Solution

The third proportional to 6,039.56 and 13,305.09 is: 29,310.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,039.56 : 13,305.09 = 13,305.09 : x
  2. Step 2: Convert to fraction form
    6,039.56/13,305.09 = 13,305.09/x
  3. Step 3: Cross multiply
    6,039.56x = 13,305.09 × 13,305.09
  4. Step 4: Simplify right side
    6,039.56x = 177,025,519.70
  5. Step 5: Solve for x
    x = 177,025,519.70/6,039.56
  6. Step 6: Final answer
    x = 29,310.98

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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.