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Finding the Third Proportional to 21,824 and 44,296

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Solution

The third proportional to 21,824 and 44,296 is: 89,907.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,824 : 44,296 = 44,296 : x
  2. Step 2: Convert to fraction form
    21,824/44,296 = 44,296/x
  3. Step 3: Cross multiply
    21,824x = 44,296 × 44,296
  4. Step 4: Simplify right side
    21,824x = 1,962,135,616
  5. Step 5: Solve for x
    x = 1,962,135,616/21,824
  6. Step 6: Final answer
    x = 89,907.24

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.