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Finding the Third Proportional to 27,033 and 58,227

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Solution

The third proportional to 27,033 and 58,227 is: 125,416.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,033 : 58,227 = 58,227 : x
  2. Step 2: Convert to fraction form
    27,033/58,227 = 58,227/x
  3. Step 3: Cross multiply
    27,033x = 58,227 × 58,227
  4. Step 4: Simplify right side
    27,033x = 3,390,383,529
  5. Step 5: Solve for x
    x = 3,390,383,529/27,033
  6. Step 6: Final answer
    x = 125,416.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.