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Finding the Third Proportional to 36,750 and 79,723.50

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Solution

The third proportional to 36,750 and 79,723.50 is: 172,947.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,750 : 79,723.50 = 79,723.50 : x
  2. Step 2: Convert to fraction form
    36,750/79,723.50 = 79,723.50/x
  3. Step 3: Cross multiply
    36,750x = 79,723.50 × 79,723.50
  4. Step 4: Simplify right side
    36,750x = 6,355,836,452.25
  5. Step 5: Solve for x
    x = 6,355,836,452.25/36,750
  6. Step 6: Final answer
    x = 172,947.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.