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Finding the Third Proportional to 36,740 and 80,272

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Solution

The third proportional to 36,740 and 80,272 is: 175,383.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,740 : 80,272 = 80,272 : x
  2. Step 2: Convert to fraction form
    36,740/80,272 = 80,272/x
  3. Step 3: Cross multiply
    36,740x = 80,272 × 80,272
  4. Step 4: Simplify right side
    36,740x = 6,443,593,984
  5. Step 5: Solve for x
    x = 6,443,593,984/36,740
  6. Step 6: Final answer
    x = 175,383.61

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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.