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Finding the Third Proportional to 36,834 and 80,634

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Solution

The third proportional to 36,834 and 80,634 is: 176,517.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,834 : 80,634 = 80,634 : x
  2. Step 2: Convert to fraction form
    36,834/80,634 = 80,634/x
  3. Step 3: Cross multiply
    36,834x = 80,634 × 80,634
  4. Step 4: Simplify right side
    36,834x = 6,501,841,956
  5. Step 5: Solve for x
    x = 6,501,841,956/36,834
  6. Step 6: Final answer
    x = 176,517.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.