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Finding the Third Proportional to 36,744 and 79,714

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Solution

The third proportional to 36,744 and 79,714 is: 172,934.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,744 : 79,714 = 79,714 : x
  2. Step 2: Convert to fraction form
    36,744/79,714 = 79,714/x
  3. Step 3: Cross multiply
    36,744x = 79,714 × 79,714
  4. Step 4: Simplify right side
    36,744x = 6,354,321,796
  5. Step 5: Solve for x
    x = 6,354,321,796/36,744
  6. Step 6: Final answer
    x = 172,934.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.