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Finding the Third Proportional to 11,760.19 and 25,375.78

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Solution

The third proportional to 11,760.19 and 25,375.78 is: 54,755.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,760.19 : 25,375.78 = 25,375.78 : x
  2. Step 2: Convert to fraction form
    11,760.19/25,375.78 = 25,375.78/x
  3. Step 3: Cross multiply
    11,760.19x = 25,375.78 × 25,375.78
  4. Step 4: Simplify right side
    11,760.19x = 643,930,274.05
  5. Step 5: Solve for x
    x = 643,930,274.05/11,760.19
  6. Step 6: Final answer
    x = 54,755.10

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.