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Finding the Third Proportional to 22,856 and 50,096

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Solution

The third proportional to 22,856 and 50,096 is: 109,800.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,856 : 50,096 = 50,096 : x
  2. Step 2: Convert to fraction form
    22,856/50,096 = 50,096/x
  3. Step 3: Cross multiply
    22,856x = 50,096 × 50,096
  4. Step 4: Simplify right side
    22,856x = 2,509,609,216
  5. Step 5: Solve for x
    x = 2,509,609,216/22,856
  6. Step 6: Final answer
    x = 109,800.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.