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Finding the Third Proportional to 13,198.89 and 20,439.05

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Solution

The third proportional to 13,198.89 and 20,439.05 is: 31,650.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.89 : 20,439.05 = 20,439.05 : x
  2. Step 2: Convert to fraction form
    13,198.89/20,439.05 = 20,439.05/x
  3. Step 3: Cross multiply
    13,198.89x = 20,439.05 × 20,439.05
  4. Step 4: Simplify right side
    13,198.89x = 417,754,876.68
  5. Step 5: Solve for x
    x = 417,754,876.68/13,198.89
  6. Step 6: Final answer
    x = 31,650.77

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.