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Finding the Third Proportional to 17,634 and 36,722

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Solution

The third proportional to 17,634 and 36,722 is: 76,471.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,634 : 36,722 = 36,722 : x
  2. Step 2: Convert to fraction form
    17,634/36,722 = 36,722/x
  3. Step 3: Cross multiply
    17,634x = 36,722 × 36,722
  4. Step 4: Simplify right side
    17,634x = 1,348,505,284
  5. Step 5: Solve for x
    x = 1,348,505,284/17,634
  6. Step 6: Final answer
    x = 76,471.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.