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Finding the Third Proportional to 22,876 and 48,923

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Solution

The third proportional to 22,876 and 48,923 is: 104,627.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,876 : 48,923 = 48,923 : x
  2. Step 2: Convert to fraction form
    22,876/48,923 = 48,923/x
  3. Step 3: Cross multiply
    22,876x = 48,923 × 48,923
  4. Step 4: Simplify right side
    22,876x = 2,393,459,929
  5. Step 5: Solve for x
    x = 2,393,459,929/22,876
  6. Step 6: Final answer
    x = 104,627.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.