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Finding the Third Proportional to 3,434 and 7,651

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Solution

The third proportional to 3,434 and 7,651 is: 17,046.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434 : 7,651 = 7,651 : x
  2. Step 2: Convert to fraction form
    3,434/7,651 = 7,651/x
  3. Step 3: Cross multiply
    3,434x = 7,651 × 7,651
  4. Step 4: Simplify right side
    3,434x = 58,537,801
  5. Step 5: Solve for x
    x = 58,537,801/3,434
  6. Step 6: Final answer
    x = 17,046.53

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.