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Finding the Third Proportional to 22,960 and 50,240

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Solution

The third proportional to 22,960 and 50,240 is: 109,932.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,960 : 50,240 = 50,240 : x
  2. Step 2: Convert to fraction form
    22,960/50,240 = 50,240/x
  3. Step 3: Cross multiply
    22,960x = 50,240 × 50,240
  4. Step 4: Simplify right side
    22,960x = 2,524,057,600
  5. Step 5: Solve for x
    x = 2,524,057,600/22,960
  6. Step 6: Final answer
    x = 109,932.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.