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Finding the Third Proportional to 20,159 and 23,845

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Solution

The third proportional to 20,159 and 23,845 is: 28,204.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,159 : 23,845 = 23,845 : x
  2. Step 2: Convert to fraction form
    20,159/23,845 = 23,845/x
  3. Step 3: Cross multiply
    20,159x = 23,845 × 23,845
  4. Step 4: Simplify right side
    20,159x = 568,584,025
  5. Step 5: Solve for x
    x = 568,584,025/20,159
  6. Step 6: Final answer
    x = 28,204.97

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.