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Finding the Third Proportional to 3,296 and 7,673

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Solution

The third proportional to 3,296 and 7,673 is: 17,862.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296 : 7,673 = 7,673 : x
  2. Step 2: Convert to fraction form
    3,296/7,673 = 7,673/x
  3. Step 3: Cross multiply
    3,296x = 7,673 × 7,673
  4. Step 4: Simplify right side
    3,296x = 58,874,929
  5. Step 5: Solve for x
    x = 58,874,929/3,296
  6. Step 6: Final answer
    x = 17,862.54

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.