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Finding the Third Proportional to 5,622 and 11,824

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Solution

The third proportional to 5,622 and 11,824 is: 24,867.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,622 : 11,824 = 11,824 : x
  2. Step 2: Convert to fraction form
    5,622/11,824 = 11,824/x
  3. Step 3: Cross multiply
    5,622x = 11,824 × 11,824
  4. Step 4: Simplify right side
    5,622x = 139,806,976
  5. Step 5: Solve for x
    x = 139,806,976/5,622
  6. Step 6: Final answer
    x = 24,867.84

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.