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Finding the Third Proportional to 36,921 and 79,096

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Solution

The third proportional to 36,921 and 79,096 is: 169,447.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,921 : 79,096 = 79,096 : x
  2. Step 2: Convert to fraction form
    36,921/79,096 = 79,096/x
  3. Step 3: Cross multiply
    36,921x = 79,096 × 79,096
  4. Step 4: Simplify right side
    36,921x = 6,256,177,216
  5. Step 5: Solve for x
    x = 6,256,177,216/36,921
  6. Step 6: Final answer
    x = 169,447.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.