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Finding the Third Proportional to 36,385 and 80,416

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Solution

The third proportional to 36,385 and 80,416 is: 177,730.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,385 : 80,416 = 80,416 : x
  2. Step 2: Convert to fraction form
    36,385/80,416 = 80,416/x
  3. Step 3: Cross multiply
    36,385x = 80,416 × 80,416
  4. Step 4: Simplify right side
    36,385x = 6,466,733,056
  5. Step 5: Solve for x
    x = 6,466,733,056/36,385
  6. Step 6: Final answer
    x = 177,730.74

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.