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Finding the Third Proportional to 38,859.19 and 83,843.44

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Solution

The third proportional to 38,859.19 and 83,843.44 is: 180,902.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,859.19 : 83,843.44 = 83,843.44 : x
  2. Step 2: Convert to fraction form
    38,859.19/83,843.44 = 83,843.44/x
  3. Step 3: Cross multiply
    38,859.19x = 83,843.44 × 83,843.44
  4. Step 4: Simplify right side
    38,859.19x = 7,029,722,011.82
  5. Step 5: Solve for x
    x = 7,029,722,011.82/38,859.19
  6. Step 6: Final answer
    x = 180,902.44

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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.