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Finding the Third Proportional to 27,832 and 57,028

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Solution

The third proportional to 27,832 and 57,028 is: 116,850.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,832 : 57,028 = 57,028 : x
  2. Step 2: Convert to fraction form
    27,832/57,028 = 57,028/x
  3. Step 3: Cross multiply
    27,832x = 57,028 × 57,028
  4. Step 4: Simplify right side
    27,832x = 3,252,192,784
  5. Step 5: Solve for x
    x = 3,252,192,784/27,832
  6. Step 6: Final answer
    x = 116,850.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.