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Finding the Third Proportional to 20,578 and 29,137

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Solution

The third proportional to 20,578 and 29,137 is: 41,255.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,578 : 29,137 = 29,137 : x
  2. Step 2: Convert to fraction form
    20,578/29,137 = 29,137/x
  3. Step 3: Cross multiply
    20,578x = 29,137 × 29,137
  4. Step 4: Simplify right side
    20,578x = 848,964,769
  5. Step 5: Solve for x
    x = 848,964,769/20,578
  6. Step 6: Final answer
    x = 41,255.94

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.