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Finding the Third Proportional to 11,897.25 and 25,620.75

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Solution

The third proportional to 11,897.25 and 25,620.75 is: 55,174.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.25 : 25,620.75 = 25,620.75 : x
  2. Step 2: Convert to fraction form
    11,897.25/25,620.75 = 25,620.75/x
  3. Step 3: Cross multiply
    11,897.25x = 25,620.75 × 25,620.75
  4. Step 4: Simplify right side
    11,897.25x = 656,422,830.56
  5. Step 5: Solve for x
    x = 656,422,830.56/11,897.25
  6. Step 6: Final answer
    x = 55,174.33

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.