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Finding the Third Proportional to 17,646 and 24,734

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Solution

The third proportional to 17,646 and 24,734 is: 34,669.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,646 : 24,734 = 24,734 : x
  2. Step 2: Convert to fraction form
    17,646/24,734 = 24,734/x
  3. Step 3: Cross multiply
    17,646x = 24,734 × 24,734
  4. Step 4: Simplify right side
    17,646x = 611,770,756
  5. Step 5: Solve for x
    x = 611,770,756/17,646
  6. Step 6: Final answer
    x = 34,669.09

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.