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Finding the Third Proportional to 27,204 and 38,508

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Solution

The third proportional to 27,204 and 38,508 is: 54,509.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,204 : 38,508 = 38,508 : x
  2. Step 2: Convert to fraction form
    27,204/38,508 = 38,508/x
  3. Step 3: Cross multiply
    27,204x = 38,508 × 38,508
  4. Step 4: Simplify right side
    27,204x = 1,482,866,064
  5. Step 5: Solve for x
    x = 1,482,866,064/27,204
  6. Step 6: Final answer
    x = 54,509.12

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.