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Finding the Third Proportional to 38,891 and 89,825

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Solution

The third proportional to 38,891 and 89,825 is: 207,465.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,891 : 89,825 = 89,825 : x
  2. Step 2: Convert to fraction form
    38,891/89,825 = 89,825/x
  3. Step 3: Cross multiply
    38,891x = 89,825 × 89,825
  4. Step 4: Simplify right side
    38,891x = 8,068,530,625
  5. Step 5: Solve for x
    x = 8,068,530,625/38,891
  6. Step 6: Final answer
    x = 207,465.24

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.