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Finding the Third Proportional to 17,624 and 22,881

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Solution

The third proportional to 17,624 and 22,881 is: 29,706.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,624 : 22,881 = 22,881 : x
  2. Step 2: Convert to fraction form
    17,624/22,881 = 22,881/x
  3. Step 3: Cross multiply
    17,624x = 22,881 × 22,881
  4. Step 4: Simplify right side
    17,624x = 523,540,161
  5. Step 5: Solve for x
    x = 523,540,161/17,624
  6. Step 6: Final answer
    x = 29,706.09

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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.