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Finding the Third Proportional to 22,447 and 48,824

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Solution

The third proportional to 22,447 and 48,824 is: 106,196.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,447 : 48,824 = 48,824 : x
  2. Step 2: Convert to fraction form
    22,447/48,824 = 48,824/x
  3. Step 3: Cross multiply
    22,447x = 48,824 × 48,824
  4. Step 4: Simplify right side
    22,447x = 2,383,782,976
  5. Step 5: Solve for x
    x = 2,383,782,976/22,447
  6. Step 6: Final answer
    x = 106,196.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.