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Finding the Third Proportional to 38,997 and 84,825

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Solution

The third proportional to 38,997 and 84,825 is: 184,508.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,997 : 84,825 = 84,825 : x
  2. Step 2: Convert to fraction form
    38,997/84,825 = 84,825/x
  3. Step 3: Cross multiply
    38,997x = 84,825 × 84,825
  4. Step 4: Simplify right side
    38,997x = 7,195,280,625
  5. Step 5: Solve for x
    x = 7,195,280,625/38,997
  6. Step 6: Final answer
    x = 184,508.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.