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Finding the Third Proportional to 38,815 and 84,734

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Solution

The third proportional to 38,815 and 84,734 is: 184,976.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,815 : 84,734 = 84,734 : x
  2. Step 2: Convert to fraction form
    38,815/84,734 = 84,734/x
  3. Step 3: Cross multiply
    38,815x = 84,734 × 84,734
  4. Step 4: Simplify right side
    38,815x = 7,179,850,756
  5. Step 5: Solve for x
    x = 7,179,850,756/38,815
  6. Step 6: Final answer
    x = 184,976.19

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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.