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Finding the Third Proportional to 36,722 and 79,282

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Solution

The third proportional to 36,722 and 79,282 is: 171,168.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,722 : 79,282 = 79,282 : x
  2. Step 2: Convert to fraction form
    36,722/79,282 = 79,282/x
  3. Step 3: Cross multiply
    36,722x = 79,282 × 79,282
  4. Step 4: Simplify right side
    36,722x = 6,285,635,524
  5. Step 5: Solve for x
    x = 6,285,635,524/36,722
  6. Step 6: Final answer
    x = 171,168.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.