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Finding the Third Proportional to 20,724 and 29,296

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Solution

The third proportional to 20,724 and 29,296 is: 41,413.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,724 : 29,296 = 29,296 : x
  2. Step 2: Convert to fraction form
    20,724/29,296 = 29,296/x
  3. Step 3: Cross multiply
    20,724x = 29,296 × 29,296
  4. Step 4: Simplify right side
    20,724x = 858,255,616
  5. Step 5: Solve for x
    x = 858,255,616/20,724
  6. Step 6: Final answer
    x = 41,413.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.