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Finding the Third Proportional to 36,853 and 86,632

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Solution

The third proportional to 36,853 and 86,632 is: 203,649.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,853 : 86,632 = 86,632 : x
  2. Step 2: Convert to fraction form
    36,853/86,632 = 86,632/x
  3. Step 3: Cross multiply
    36,853x = 86,632 × 86,632
  4. Step 4: Simplify right side
    36,853x = 7,505,103,424
  5. Step 5: Solve for x
    x = 7,505,103,424/36,853
  6. Step 6: Final answer
    x = 203,649.73

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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.