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Finding the Third Proportional to 34,001 and 73,651

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Solution

The third proportional to 34,001 and 73,651 is: 159,538.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,001 : 73,651 = 73,651 : x
  2. Step 2: Convert to fraction form
    34,001/73,651 = 73,651/x
  3. Step 3: Cross multiply
    34,001x = 73,651 × 73,651
  4. Step 4: Simplify right side
    34,001x = 5,424,469,801
  5. Step 5: Solve for x
    x = 5,424,469,801/34,001
  6. Step 6: Final answer
    x = 159,538.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.