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Finding the Third Proportional to 23,225 and 50,176

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Solution

The third proportional to 23,225 and 50,176 is: 108,401.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,225 : 50,176 = 50,176 : x
  2. Step 2: Convert to fraction form
    23,225/50,176 = 50,176/x
  3. Step 3: Cross multiply
    23,225x = 50,176 × 50,176
  4. Step 4: Simplify right side
    23,225x = 2,517,630,976
  5. Step 5: Solve for x
    x = 2,517,630,976/23,225
  6. Step 6: Final answer
    x = 108,401.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.