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Finding the Third Proportional to 22,296 and 29,751

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Solution

The third proportional to 22,296 and 29,751 is: 39,698.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,296 : 29,751 = 29,751 : x
  2. Step 2: Convert to fraction form
    22,296/29,751 = 29,751/x
  3. Step 3: Cross multiply
    22,296x = 29,751 × 29,751
  4. Step 4: Simplify right side
    22,296x = 885,122,001
  5. Step 5: Solve for x
    x = 885,122,001/22,296
  6. Step 6: Final answer
    x = 39,698.69

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.