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Finding the Third Proportional to 25,786.50 and 54,372.75

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Solution

The third proportional to 25,786.50 and 54,372.75 is: 114,648.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,786.50 : 54,372.75 = 54,372.75 : x
  2. Step 2: Convert to fraction form
    25,786.50/54,372.75 = 54,372.75/x
  3. Step 3: Cross multiply
    25,786.50x = 54,372.75 × 54,372.75
  4. Step 4: Simplify right side
    25,786.50x = 2,956,395,942.56
  5. Step 5: Solve for x
    x = 2,956,395,942.56/25,786.50
  6. Step 6: Final answer
    x = 114,648.98

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.