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Finding the Third Proportional to 22,296 and 34,542

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Solution

The third proportional to 22,296 and 34,542 is: 53,514.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,296 : 34,542 = 34,542 : x
  2. Step 2: Convert to fraction form
    22,296/34,542 = 34,542/x
  3. Step 3: Cross multiply
    22,296x = 34,542 × 34,542
  4. Step 4: Simplify right side
    22,296x = 1,193,149,764
  5. Step 5: Solve for x
    x = 1,193,149,764/22,296
  6. Step 6: Final answer
    x = 53,514.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.