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Finding the Third Proportional to 36,932 and 80,632

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Solution

The third proportional to 36,932 and 80,632 is: 176,040.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,932 : 80,632 = 80,632 : x
  2. Step 2: Convert to fraction form
    36,932/80,632 = 80,632/x
  3. Step 3: Cross multiply
    36,932x = 80,632 × 80,632
  4. Step 4: Simplify right side
    36,932x = 6,501,519,424
  5. Step 5: Solve for x
    x = 6,501,519,424/36,932
  6. Step 6: Final answer
    x = 176,040.27

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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.