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Finding the Third Proportional to 36,998.25 and 79,908.75

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Solution

The third proportional to 36,998.25 and 79,908.75 is: 172,586.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,998.25 : 79,908.75 = 79,908.75 : x
  2. Step 2: Convert to fraction form
    36,998.25/79,908.75 = 79,908.75/x
  3. Step 3: Cross multiply
    36,998.25x = 79,908.75 × 79,908.75
  4. Step 4: Simplify right side
    36,998.25x = 6,385,408,326.56
  5. Step 5: Solve for x
    x = 6,385,408,326.56/36,998.25
  6. Step 6: Final answer
    x = 172,586.77

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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.