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Finding the Third Proportional to 36,936 and 86,715

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Solution

The third proportional to 36,936 and 86,715 is: 203,581.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,936 : 86,715 = 86,715 : x
  2. Step 2: Convert to fraction form
    36,936/86,715 = 86,715/x
  3. Step 3: Cross multiply
    36,936x = 86,715 × 86,715
  4. Step 4: Simplify right side
    36,936x = 7,519,491,225
  5. Step 5: Solve for x
    x = 7,519,491,225/36,936
  6. Step 6: Final answer
    x = 203,581.63

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.