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Finding the Third Proportional to 38,009.25 and 80,939.25

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Solution

The third proportional to 38,009.25 and 80,939.25 is: 172,357.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,009.25 : 80,939.25 = 80,939.25 : x
  2. Step 2: Convert to fraction form
    38,009.25/80,939.25 = 80,939.25/x
  3. Step 3: Cross multiply
    38,009.25x = 80,939.25 × 80,939.25
  4. Step 4: Simplify right side
    38,009.25x = 6,551,162,190.56
  5. Step 5: Solve for x
    x = 6,551,162,190.56/38,009.25
  6. Step 6: Final answer
    x = 172,357.05

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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.