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Finding the Third Proportional to 38,341 and 82,838

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Solution

The third proportional to 38,341 and 82,838 is: 178,976.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,341 : 82,838 = 82,838 : x
  2. Step 2: Convert to fraction form
    38,341/82,838 = 82,838/x
  3. Step 3: Cross multiply
    38,341x = 82,838 × 82,838
  4. Step 4: Simplify right side
    38,341x = 6,862,134,244
  5. Step 5: Solve for x
    x = 6,862,134,244/38,341
  6. Step 6: Final answer
    x = 178,976.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.