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Finding the Third Proportional to 21,751 and 50,157

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Solution

The third proportional to 21,751 and 50,157 is: 115,660.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,751 : 50,157 = 50,157 : x
  2. Step 2: Convert to fraction form
    21,751/50,157 = 50,157/x
  3. Step 3: Cross multiply
    21,751x = 50,157 × 50,157
  4. Step 4: Simplify right side
    21,751x = 2,515,724,649
  5. Step 5: Solve for x
    x = 2,515,724,649/21,751
  6. Step 6: Final answer
    x = 115,660.18

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.