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Finding the Third Proportional to 36,736 and 81,679

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Solution

The third proportional to 36,736 and 81,679 is: 181,605.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,736 : 81,679 = 81,679 : x
  2. Step 2: Convert to fraction form
    36,736/81,679 = 81,679/x
  3. Step 3: Cross multiply
    36,736x = 81,679 × 81,679
  4. Step 4: Simplify right side
    36,736x = 6,671,459,041
  5. Step 5: Solve for x
    x = 6,671,459,041/36,736
  6. Step 6: Final answer
    x = 181,605.48

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.