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Finding the Third Proportional to 23,215 and 50,124

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Solution

The third proportional to 23,215 and 50,124 is: 108,223.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,215 : 50,124 = 50,124 : x
  2. Step 2: Convert to fraction form
    23,215/50,124 = 50,124/x
  3. Step 3: Cross multiply
    23,215x = 50,124 × 50,124
  4. Step 4: Simplify right side
    23,215x = 2,512,415,376
  5. Step 5: Solve for x
    x = 2,512,415,376/23,215
  6. Step 6: Final answer
    x = 108,223.79

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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.