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Finding the Third Proportional to 26,509.78 and 57,082.22

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Solution

The third proportional to 26,509.78 and 57,082.22 is: 122,912.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,509.78 : 57,082.22 = 57,082.22 : x
  2. Step 2: Convert to fraction form
    26,509.78/57,082.22 = 57,082.22/x
  3. Step 3: Cross multiply
    26,509.78x = 57,082.22 × 57,082.22
  4. Step 4: Simplify right side
    26,509.78x = 3,258,379,697.42
  5. Step 5: Solve for x
    x = 3,258,379,697.42/26,509.78
  6. Step 6: Final answer
    x = 122,912.36

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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.