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Finding the Third Proportional to 36,802 and 79,438

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Solution

The third proportional to 36,802 and 79,438 is: 171,468.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,802 : 79,438 = 79,438 : x
  2. Step 2: Convert to fraction form
    36,802/79,438 = 79,438/x
  3. Step 3: Cross multiply
    36,802x = 79,438 × 79,438
  4. Step 4: Simplify right side
    36,802x = 6,310,395,844
  5. Step 5: Solve for x
    x = 6,310,395,844/36,802
  6. Step 6: Final answer
    x = 171,468.83

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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.