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Finding the Third Proportional to 36,800 and 79,434

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Solution

The third proportional to 36,800 and 79,434 is: 171,460.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,800 : 79,434 = 79,434 : x
  2. Step 2: Convert to fraction form
    36,800/79,434 = 79,434/x
  3. Step 3: Cross multiply
    36,800x = 79,434 × 79,434
  4. Step 4: Simplify right side
    36,800x = 6,309,760,356
  5. Step 5: Solve for x
    x = 6,309,760,356/36,800
  6. Step 6: Final answer
    x = 171,460.88

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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.