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Finding the Third Proportional to 15,086 and 33,179

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Solution

The third proportional to 15,086 and 33,179 is: 72,971.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,086 : 33,179 = 33,179 : x
  2. Step 2: Convert to fraction form
    15,086/33,179 = 33,179/x
  3. Step 3: Cross multiply
    15,086x = 33,179 × 33,179
  4. Step 4: Simplify right side
    15,086x = 1,100,846,041
  5. Step 5: Solve for x
    x = 1,100,846,041/15,086
  6. Step 6: Final answer
    x = 72,971.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.