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Finding the Third Proportional to 28,774 and 38,874

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Solution

The third proportional to 28,774 and 38,874 is: 52,519.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,774 : 38,874 = 38,874 : x
  2. Step 2: Convert to fraction form
    28,774/38,874 = 38,874/x
  3. Step 3: Cross multiply
    28,774x = 38,874 × 38,874
  4. Step 4: Simplify right side
    28,774x = 1,511,187,876
  5. Step 5: Solve for x
    x = 1,511,187,876/28,774
  6. Step 6: Final answer
    x = 52,519.21

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.