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Finding the Third Proportional to 24,059 and 50,751

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Solution

The third proportional to 24,059 and 50,751 is: 107,056.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,059 : 50,751 = 50,751 : x
  2. Step 2: Convert to fraction form
    24,059/50,751 = 50,751/x
  3. Step 3: Cross multiply
    24,059x = 50,751 × 50,751
  4. Step 4: Simplify right side
    24,059x = 2,575,664,001
  5. Step 5: Solve for x
    x = 2,575,664,001/24,059
  6. Step 6: Final answer
    x = 107,056.15

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.