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Finding the Third Proportional to 20,518 and 29,338

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Solution

The third proportional to 20,518 and 29,338 is: 41,949.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,518 : 29,338 = 29,338 : x
  2. Step 2: Convert to fraction form
    20,518/29,338 = 29,338/x
  3. Step 3: Cross multiply
    20,518x = 29,338 × 29,338
  4. Step 4: Simplify right side
    20,518x = 860,718,244
  5. Step 5: Solve for x
    x = 860,718,244/20,518
  6. Step 6: Final answer
    x = 41,949.42

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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.