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Finding the Third Proportional to 27,023 and 58,204

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Solution

The third proportional to 27,023 and 58,204 is: 125,363.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,023 : 58,204 = 58,204 : x
  2. Step 2: Convert to fraction form
    27,023/58,204 = 58,204/x
  3. Step 3: Cross multiply
    27,023x = 58,204 × 58,204
  4. Step 4: Simplify right side
    27,023x = 3,387,705,616
  5. Step 5: Solve for x
    x = 3,387,705,616/27,023
  6. Step 6: Final answer
    x = 125,363.79

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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.