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Finding the Third Proportional to 17,263 and 36,268

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Solution

The third proportional to 17,263 and 36,268 is: 76,195.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,263 : 36,268 = 36,268 : x
  2. Step 2: Convert to fraction form
    17,263/36,268 = 36,268/x
  3. Step 3: Cross multiply
    17,263x = 36,268 × 36,268
  4. Step 4: Simplify right side
    17,263x = 1,315,367,824
  5. Step 5: Solve for x
    x = 1,315,367,824/17,263
  6. Step 6: Final answer
    x = 76,195.78

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.