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Finding the Third Proportional to 25,945.50 and 57,075

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Solution

The third proportional to 25,945.50 and 57,075 is: 125,553.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,945.50 : 57,075 = 57,075 : x
  2. Step 2: Convert to fraction form
    25,945.50/57,075 = 57,075/x
  3. Step 3: Cross multiply
    25,945.50x = 57,075 × 57,075
  4. Step 4: Simplify right side
    25,945.50x = 3,257,555,625
  5. Step 5: Solve for x
    x = 3,257,555,625/25,945.50
  6. Step 6: Final answer
    x = 125,553.78

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.