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Finding the Third Proportional to 5,665 and 11,845

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Solution

The third proportional to 5,665 and 11,845 is: 24,766.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665 : 11,845 = 11,845 : x
  2. Step 2: Convert to fraction form
    5,665/11,845 = 11,845/x
  3. Step 3: Cross multiply
    5,665x = 11,845 × 11,845
  4. Step 4: Simplify right side
    5,665x = 140,304,025
  5. Step 5: Solve for x
    x = 140,304,025/5,665
  6. Step 6: Final answer
    x = 24,766.82

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.