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Finding the Third Proportional to 23,517 and 50,314.50

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Solution

The third proportional to 23,517 and 50,314.50 is: 107,647.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,517 : 50,314.50 = 50,314.50 : x
  2. Step 2: Convert to fraction form
    23,517/50,314.50 = 50,314.50/x
  3. Step 3: Cross multiply
    23,517x = 50,314.50 × 50,314.50
  4. Step 4: Simplify right side
    23,517x = 2,531,548,910.25
  5. Step 5: Solve for x
    x = 2,531,548,910.25/23,517
  6. Step 6: Final answer
    x = 107,647.61

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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.