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Finding the Third Proportional to 26,082 and 55,857

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Solution

The third proportional to 26,082 and 55,857 is: 119,622.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,082 : 55,857 = 55,857 : x
  2. Step 2: Convert to fraction form
    26,082/55,857 = 55,857/x
  3. Step 3: Cross multiply
    26,082x = 55,857 × 55,857
  4. Step 4: Simplify right side
    26,082x = 3,120,004,449
  5. Step 5: Solve for x
    x = 3,120,004,449/26,082
  6. Step 6: Final answer
    x = 119,622.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.