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Finding the Third Proportional to 36,272 and 76,894

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Solution

The third proportional to 36,272 and 76,894 is: 163,009.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,272 : 76,894 = 76,894 : x
  2. Step 2: Convert to fraction form
    36,272/76,894 = 76,894/x
  3. Step 3: Cross multiply
    36,272x = 76,894 × 76,894
  4. Step 4: Simplify right side
    36,272x = 5,912,687,236
  5. Step 5: Solve for x
    x = 5,912,687,236/36,272
  6. Step 6: Final answer
    x = 163,009.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.