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Finding the Third Proportional to 23,381 and 50,111

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Solution

The third proportional to 23,381 and 50,111 is: 107,399.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,381 : 50,111 = 50,111 : x
  2. Step 2: Convert to fraction form
    23,381/50,111 = 50,111/x
  3. Step 3: Cross multiply
    23,381x = 50,111 × 50,111
  4. Step 4: Simplify right side
    23,381x = 2,511,112,321
  5. Step 5: Solve for x
    x = 2,511,112,321/23,381
  6. Step 6: Final answer
    x = 107,399.70

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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.