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Finding the Third Proportional to 20,338 and 29,022

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Solution

The third proportional to 20,338 and 29,022 is: 41,413.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,338 : 29,022 = 29,022 : x
  2. Step 2: Convert to fraction form
    20,338/29,022 = 29,022/x
  3. Step 3: Cross multiply
    20,338x = 29,022 × 29,022
  4. Step 4: Simplify right side
    20,338x = 842,276,484
  5. Step 5: Solve for x
    x = 842,276,484/20,338
  6. Step 6: Final answer
    x = 41,413.93

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.