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Finding the Third Proportional to 11,676 and 18,569

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Solution

The third proportional to 11,676 and 18,569 is: 29,531.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676 : 18,569 = 18,569 : x
  2. Step 2: Convert to fraction form
    11,676/18,569 = 18,569/x
  3. Step 3: Cross multiply
    11,676x = 18,569 × 18,569
  4. Step 4: Simplify right side
    11,676x = 344,807,761
  5. Step 5: Solve for x
    x = 344,807,761/11,676
  6. Step 6: Final answer
    x = 29,531.33

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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.