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Finding the Third Proportional to 36,372 and 76,416

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Solution

The third proportional to 36,372 and 76,416 is: 160,546.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,372 : 76,416 = 76,416 : x
  2. Step 2: Convert to fraction form
    36,372/76,416 = 76,416/x
  3. Step 3: Cross multiply
    36,372x = 76,416 × 76,416
  4. Step 4: Simplify right side
    36,372x = 5,839,405,056
  5. Step 5: Solve for x
    x = 5,839,405,056/36,372
  6. Step 6: Final answer
    x = 160,546.71

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.