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Finding the Third Proportional to 27,204 and 38,306

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Solution

The third proportional to 27,204 and 38,306 is: 53,938.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,204 : 38,306 = 38,306 : x
  2. Step 2: Convert to fraction form
    27,204/38,306 = 38,306/x
  3. Step 3: Cross multiply
    27,204x = 38,306 × 38,306
  4. Step 4: Simplify right side
    27,204x = 1,467,349,636
  5. Step 5: Solve for x
    x = 1,467,349,636/27,204
  6. Step 6: Final answer
    x = 53,938.75

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.