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Finding the Third Proportional to 36,932 and 80,546

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Solution

The third proportional to 36,932 and 80,546 is: 175,664.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,932 : 80,546 = 80,546 : x
  2. Step 2: Convert to fraction form
    36,932/80,546 = 80,546/x
  3. Step 3: Cross multiply
    36,932x = 80,546 × 80,546
  4. Step 4: Simplify right side
    36,932x = 6,487,658,116
  5. Step 5: Solve for x
    x = 6,487,658,116/36,932
  6. Step 6: Final answer
    x = 175,664.95

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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.