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Finding the Third Proportional to 11,717 and 18,680

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Solution

The third proportional to 11,717 and 18,680 is: 29,780.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,717 : 18,680 = 18,680 : x
  2. Step 2: Convert to fraction form
    11,717/18,680 = 18,680/x
  3. Step 3: Cross multiply
    11,717x = 18,680 × 18,680
  4. Step 4: Simplify right side
    11,717x = 348,942,400
  5. Step 5: Solve for x
    x = 348,942,400/11,717
  6. Step 6: Final answer
    x = 29,780.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.