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Finding the Third Proportional to 20,839 and 46,286

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Solution

The third proportional to 20,839 and 46,286 is: 102,806.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,839 : 46,286 = 46,286 : x
  2. Step 2: Convert to fraction form
    20,839/46,286 = 46,286/x
  3. Step 3: Cross multiply
    20,839x = 46,286 × 46,286
  4. Step 4: Simplify right side
    20,839x = 2,142,393,796
  5. Step 5: Solve for x
    x = 2,142,393,796/20,839
  6. Step 6: Final answer
    x = 102,806.94

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.