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Finding the Third Proportional to 22,723 and 48,199

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Solution

The third proportional to 22,723 and 48,199 is: 102,237.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,723 : 48,199 = 48,199 : x
  2. Step 2: Convert to fraction form
    22,723/48,199 = 48,199/x
  3. Step 3: Cross multiply
    22,723x = 48,199 × 48,199
  4. Step 4: Simplify right side
    22,723x = 2,323,143,601
  5. Step 5: Solve for x
    x = 2,323,143,601/22,723
  6. Step 6: Final answer
    x = 102,237.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.