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Finding the Third Proportional to 27,704 and 38,874

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Solution

The third proportional to 27,704 and 38,874 is: 54,547.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,704 : 38,874 = 38,874 : x
  2. Step 2: Convert to fraction form
    27,704/38,874 = 38,874/x
  3. Step 3: Cross multiply
    27,704x = 38,874 × 38,874
  4. Step 4: Simplify right side
    27,704x = 1,511,187,876
  5. Step 5: Solve for x
    x = 1,511,187,876/27,704
  6. Step 6: Final answer
    x = 54,547.64

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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.