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Finding the Third Proportional to 38,743 and 81,838

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Solution

The third proportional to 38,743 and 81,838 is: 172,868.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,743 : 81,838 = 81,838 : x
  2. Step 2: Convert to fraction form
    38,743/81,838 = 81,838/x
  3. Step 3: Cross multiply
    38,743x = 81,838 × 81,838
  4. Step 4: Simplify right side
    38,743x = 6,697,458,244
  5. Step 5: Solve for x
    x = 6,697,458,244/38,743
  6. Step 6: Final answer
    x = 172,868.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.