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Finding the Third Proportional to 27,876 and 38,994

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Solution

The third proportional to 27,876 and 38,994 is: 54,546.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,876 : 38,994 = 38,994 : x
  2. Step 2: Convert to fraction form
    27,876/38,994 = 38,994/x
  3. Step 3: Cross multiply
    27,876x = 38,994 × 38,994
  4. Step 4: Simplify right side
    27,876x = 1,520,532,036
  5. Step 5: Solve for x
    x = 1,520,532,036/27,876
  6. Step 6: Final answer
    x = 54,546.28

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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.