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Finding the Third Proportional to 27,227 and 58,394

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Solution

The third proportional to 27,227 and 58,394 is: 125,238.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,227 : 58,394 = 58,394 : x
  2. Step 2: Convert to fraction form
    27,227/58,394 = 58,394/x
  3. Step 3: Cross multiply
    27,227x = 58,394 × 58,394
  4. Step 4: Simplify right side
    27,227x = 3,409,859,236
  5. Step 5: Solve for x
    x = 3,409,859,236/27,227
  6. Step 6: Final answer
    x = 125,238.15

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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.