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Finding the Third Proportional to 38,963.25 and 83,108.25

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Solution

The third proportional to 38,963.25 and 83,108.25 is: 177,269.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,963.25 : 83,108.25 = 83,108.25 : x
  2. Step 2: Convert to fraction form
    38,963.25/83,108.25 = 83,108.25/x
  3. Step 3: Cross multiply
    38,963.25x = 83,108.25 × 83,108.25
  4. Step 4: Simplify right side
    38,963.25x = 6,906,981,218.06
  5. Step 5: Solve for x
    x = 6,906,981,218.06/38,963.25
  6. Step 6: Final answer
    x = 177,269.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.