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Finding the Third Proportional to 22,144 and 48,608

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Solution

The third proportional to 22,144 and 48,608 is: 106,698.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,144 : 48,608 = 48,608 : x
  2. Step 2: Convert to fraction form
    22,144/48,608 = 48,608/x
  3. Step 3: Cross multiply
    22,144x = 48,608 × 48,608
  4. Step 4: Simplify right side
    22,144x = 2,362,737,664
  5. Step 5: Solve for x
    x = 2,362,737,664/22,144
  6. Step 6: Final answer
    x = 106,698.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.