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Finding the Third Proportional to 17,442 and 22,689

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Solution

The third proportional to 17,442 and 22,689 is: 29,514.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,442 : 22,689 = 22,689 : x
  2. Step 2: Convert to fraction form
    17,442/22,689 = 22,689/x
  3. Step 3: Cross multiply
    17,442x = 22,689 × 22,689
  4. Step 4: Simplify right side
    17,442x = 514,790,721
  5. Step 5: Solve for x
    x = 514,790,721/17,442
  6. Step 6: Final answer
    x = 29,514.43

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.