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Finding the Third Proportional to 6,288.05 and 13,324.92

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Solution

The third proportional to 6,288.05 and 13,324.92 is: 28,236.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288.05 : 13,324.92 = 13,324.92 : x
  2. Step 2: Convert to fraction form
    6,288.05/13,324.92 = 13,324.92/x
  3. Step 3: Cross multiply
    6,288.05x = 13,324.92 × 13,324.92
  4. Step 4: Simplify right side
    6,288.05x = 177,553,542.97
  5. Step 5: Solve for x
    x = 177,553,542.97/6,288.05
  6. Step 6: Final answer
    x = 28,236.68

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.