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Finding the Third Proportional to 13,896.14 and 30,387.23

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Solution

The third proportional to 13,896.14 and 30,387.23 is: 66,448.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,896.14 : 30,387.23 = 30,387.23 : x
  2. Step 2: Convert to fraction form
    13,896.14/30,387.23 = 30,387.23/x
  3. Step 3: Cross multiply
    13,896.14x = 30,387.23 × 30,387.23
  4. Step 4: Simplify right side
    13,896.14x = 923,384,012.96
  5. Step 5: Solve for x
    x = 923,384,012.96/13,896.14
  6. Step 6: Final answer
    x = 66,448.95

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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.