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Finding the Third Proportional to 17,168 and 36,181

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Solution

The third proportional to 17,168 and 36,181 is: 76,250.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,168 : 36,181 = 36,181 : x
  2. Step 2: Convert to fraction form
    17,168/36,181 = 36,181/x
  3. Step 3: Cross multiply
    17,168x = 36,181 × 36,181
  4. Step 4: Simplify right side
    17,168x = 1,309,064,761
  5. Step 5: Solve for x
    x = 1,309,064,761/17,168
  6. Step 6: Final answer
    x = 76,250.28

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.