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Finding the Third Proportional to 27,976 and 39,208

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Solution

The third proportional to 27,976 and 39,208 is: 54,949.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,976 : 39,208 = 39,208 : x
  2. Step 2: Convert to fraction form
    27,976/39,208 = 39,208/x
  3. Step 3: Cross multiply
    27,976x = 39,208 × 39,208
  4. Step 4: Simplify right side
    27,976x = 1,537,267,264
  5. Step 5: Solve for x
    x = 1,537,267,264/27,976
  6. Step 6: Final answer
    x = 54,949.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.