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Finding the Third Proportional to 27,696 and 39,006

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Solution

The third proportional to 27,696 and 39,006 is: 54,934.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,696 : 39,006 = 39,006 : x
  2. Step 2: Convert to fraction form
    27,696/39,006 = 39,006/x
  3. Step 3: Cross multiply
    27,696x = 39,006 × 39,006
  4. Step 4: Simplify right side
    27,696x = 1,521,468,036
  5. Step 5: Solve for x
    x = 1,521,468,036/27,696
  6. Step 6: Final answer
    x = 54,934.58

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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.