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Finding the Third Proportional to 22,512 and 49,341

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Solution

The third proportional to 22,512 and 49,341 is: 108,143.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,512 : 49,341 = 49,341 : x
  2. Step 2: Convert to fraction form
    22,512/49,341 = 49,341/x
  3. Step 3: Cross multiply
    22,512x = 49,341 × 49,341
  4. Step 4: Simplify right side
    22,512x = 2,434,534,281
  5. Step 5: Solve for x
    x = 2,434,534,281/22,512
  6. Step 6: Final answer
    x = 108,143.85

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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.