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Finding the Third Proportional to 13,896.84 and 30,388.64

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Solution

The third proportional to 13,896.84 and 30,388.64 is: 66,451.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,896.84 : 30,388.64 = 30,388.64 : x
  2. Step 2: Convert to fraction form
    13,896.84/30,388.64 = 30,388.64/x
  3. Step 3: Cross multiply
    13,896.84x = 30,388.64 × 30,388.64
  4. Step 4: Simplify right side
    13,896.84x = 923,469,479.04
  5. Step 5: Solve for x
    x = 923,469,479.04/13,896.84
  6. Step 6: Final answer
    x = 66,451.74

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.