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Finding the Third Proportional to 36,738 and 80,037

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Solution

The third proportional to 36,738 and 80,037 is: 174,367.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,738 : 80,037 = 80,037 : x
  2. Step 2: Convert to fraction form
    36,738/80,037 = 80,037/x
  3. Step 3: Cross multiply
    36,738x = 80,037 × 80,037
  4. Step 4: Simplify right side
    36,738x = 6,405,921,369
  5. Step 5: Solve for x
    x = 6,405,921,369/36,738
  6. Step 6: Final answer
    x = 174,367.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.