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Finding the Third Proportional to 38,825.75 and 83,998.75

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Solution

The third proportional to 38,825.75 and 83,998.75 is: 181,729.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,825.75 : 83,998.75 = 83,998.75 : x
  2. Step 2: Convert to fraction form
    38,825.75/83,998.75 = 83,998.75/x
  3. Step 3: Cross multiply
    38,825.75x = 83,998.75 × 83,998.75
  4. Step 4: Simplify right side
    38,825.75x = 7,055,790,001.56
  5. Step 5: Solve for x
    x = 7,055,790,001.56/38,825.75
  6. Step 6: Final answer
    x = 181,729.65

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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.