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Finding the Third Proportional to 23,726 and 50,701

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Solution

The third proportional to 23,726 and 50,701 is: 108,344.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,726 : 50,701 = 50,701 : x
  2. Step 2: Convert to fraction form
    23,726/50,701 = 50,701/x
  3. Step 3: Cross multiply
    23,726x = 50,701 × 50,701
  4. Step 4: Simplify right side
    23,726x = 2,570,591,401
  5. Step 5: Solve for x
    x = 2,570,591,401/23,726
  6. Step 6: Final answer
    x = 108,344.91

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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.