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Finding the Third Proportional to 36,936 and 80,638

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Solution

The third proportional to 36,936 and 80,638 is: 176,047.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,936 : 80,638 = 80,638 : x
  2. Step 2: Convert to fraction form
    36,936/80,638 = 80,638/x
  3. Step 3: Cross multiply
    36,936x = 80,638 × 80,638
  4. Step 4: Simplify right side
    36,936x = 6,502,487,044
  5. Step 5: Solve for x
    x = 6,502,487,044/36,936
  6. Step 6: Final answer
    x = 176,047.41

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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.