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Finding the Third Proportional to 36,949 and 79,441

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Solution

The third proportional to 36,949 and 79,441 is: 170,799.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,949 : 79,441 = 79,441 : x
  2. Step 2: Convert to fraction form
    36,949/79,441 = 79,441/x
  3. Step 3: Cross multiply
    36,949x = 79,441 × 79,441
  4. Step 4: Simplify right side
    36,949x = 6,310,872,481
  5. Step 5: Solve for x
    x = 6,310,872,481/36,949
  6. Step 6: Final answer
    x = 170,799.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.