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Finding the Third Proportional to 36,452 and 76,853

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Solution

The third proportional to 36,452 and 76,853 is: 162,031.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,452 : 76,853 = 76,853 : x
  2. Step 2: Convert to fraction form
    36,452/76,853 = 76,853/x
  3. Step 3: Cross multiply
    36,452x = 76,853 × 76,853
  4. Step 4: Simplify right side
    36,452x = 5,906,383,609
  5. Step 5: Solve for x
    x = 5,906,383,609/36,452
  6. Step 6: Final answer
    x = 162,031.81

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.