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Finding the Third Proportional to 17,467 and 24,109

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Solution

The third proportional to 17,467 and 24,109 is: 33,276.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,467 : 24,109 = 24,109 : x
  2. Step 2: Convert to fraction form
    17,467/24,109 = 24,109/x
  3. Step 3: Cross multiply
    17,467x = 24,109 × 24,109
  4. Step 4: Simplify right side
    17,467x = 581,243,881
  5. Step 5: Solve for x
    x = 581,243,881/17,467
  6. Step 6: Final answer
    x = 33,276.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.