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Finding the Third Proportional to 11,817.94 and 25,200.19

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Solution

The third proportional to 11,817.94 and 25,200.19 is: 53,736.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.94 : 25,200.19 = 25,200.19 : x
  2. Step 2: Convert to fraction form
    11,817.94/25,200.19 = 25,200.19/x
  3. Step 3: Cross multiply
    11,817.94x = 25,200.19 × 25,200.19
  4. Step 4: Simplify right side
    11,817.94x = 635,049,450.04
  5. Step 5: Solve for x
    x = 635,049,450.04/11,817.94
  6. Step 6: Final answer
    x = 53,736.06

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.