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Finding the Third Proportional to 25,769.25 and 55,944.75

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Solution

The third proportional to 25,769.25 and 55,944.75 is: 121,455.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,769.25 : 55,944.75 = 55,944.75 : x
  2. Step 2: Convert to fraction form
    25,769.25/55,944.75 = 55,944.75/x
  3. Step 3: Cross multiply
    25,769.25x = 55,944.75 × 55,944.75
  4. Step 4: Simplify right side
    25,769.25x = 3,129,815,052.56
  5. Step 5: Solve for x
    x = 3,129,815,052.56/25,769.25
  6. Step 6: Final answer
    x = 121,455.42

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.