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Finding the Third Proportional to 17,294 and 26,449

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Solution

The third proportional to 17,294 and 26,449 is: 40,450.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,294 : 26,449 = 26,449 : x
  2. Step 2: Convert to fraction form
    17,294/26,449 = 26,449/x
  3. Step 3: Cross multiply
    17,294x = 26,449 × 26,449
  4. Step 4: Simplify right side
    17,294x = 699,549,601
  5. Step 5: Solve for x
    x = 699,549,601/17,294
  6. Step 6: Final answer
    x = 40,450.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.