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Finding the Third Proportional to 27,728 and 39,054

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Solution

The third proportional to 27,728 and 39,054 is: 55,006.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,728 : 39,054 = 39,054 : x
  2. Step 2: Convert to fraction form
    27,728/39,054 = 39,054/x
  3. Step 3: Cross multiply
    27,728x = 39,054 × 39,054
  4. Step 4: Simplify right side
    27,728x = 1,525,214,916
  5. Step 5: Solve for x
    x = 1,525,214,916/27,728
  6. Step 6: Final answer
    x = 55,006.31

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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.