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Finding the Third Proportional to 36,967.50 and 80,163.14

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Solution

The third proportional to 36,967.50 and 80,163.14 is: 173,831.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,967.50 : 80,163.14 = 80,163.14 : x
  2. Step 2: Convert to fraction form
    36,967.50/80,163.14 = 80,163.14/x
  3. Step 3: Cross multiply
    36,967.50x = 80,163.14 × 80,163.14
  4. Step 4: Simplify right side
    36,967.50x = 6,426,129,114.86
  5. Step 5: Solve for x
    x = 6,426,129,114.86/36,967.50
  6. Step 6: Final answer
    x = 173,831.86

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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.