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Finding the Third Proportional to 26,515.75 and 57,180.75

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Solution

The third proportional to 26,515.75 and 57,180.75 is: 123,309.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,515.75 : 57,180.75 = 57,180.75 : x
  2. Step 2: Convert to fraction form
    26,515.75/57,180.75 = 57,180.75/x
  3. Step 3: Cross multiply
    26,515.75x = 57,180.75 × 57,180.75
  4. Step 4: Simplify right side
    26,515.75x = 3,269,638,170.56
  5. Step 5: Solve for x
    x = 3,269,638,170.56/26,515.75
  6. Step 6: Final answer
    x = 123,309.28

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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.