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Finding the Third Proportional to 33,635.25 and 79,287.19

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Solution

The third proportional to 33,635.25 and 79,287.19 is: 186,900.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,635.25 : 79,287.19 = 79,287.19 : x
  2. Step 2: Convert to fraction form
    33,635.25/79,287.19 = 79,287.19/x
  3. Step 3: Cross multiply
    33,635.25x = 79,287.19 × 79,287.19
  4. Step 4: Simplify right side
    33,635.25x = 6,286,458,101.66
  5. Step 5: Solve for x
    x = 6,286,458,101.66/33,635.25
  6. Step 6: Final answer
    x = 186,900.89

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.