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Finding the Third Proportional to 36,627 and 79,086

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Solution

The third proportional to 36,627 and 79,086 is: 170,764.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,627 : 79,086 = 79,086 : x
  2. Step 2: Convert to fraction form
    36,627/79,086 = 79,086/x
  3. Step 3: Cross multiply
    36,627x = 79,086 × 79,086
  4. Step 4: Simplify right side
    36,627x = 6,254,595,396
  5. Step 5: Solve for x
    x = 6,254,595,396/36,627
  6. Step 6: Final answer
    x = 170,764.61

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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.