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Finding the Third Proportional to 22,889 and 50,152

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Solution

The third proportional to 22,889 and 50,152 is: 109,887.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,889 : 50,152 = 50,152 : x
  2. Step 2: Convert to fraction form
    22,889/50,152 = 50,152/x
  3. Step 3: Cross multiply
    22,889x = 50,152 × 50,152
  4. Step 4: Simplify right side
    22,889x = 2,515,223,104
  5. Step 5: Solve for x
    x = 2,515,223,104/22,889
  6. Step 6: Final answer
    x = 109,887.85

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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.