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Finding the Third Proportional to 22,279 and 30,265

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Solution

The third proportional to 22,279 and 30,265 is: 41,113.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,279 : 30,265 = 30,265 : x
  2. Step 2: Convert to fraction form
    22,279/30,265 = 30,265/x
  3. Step 3: Cross multiply
    22,279x = 30,265 × 30,265
  4. Step 4: Simplify right side
    22,279x = 915,970,225
  5. Step 5: Solve for x
    x = 915,970,225/22,279
  6. Step 6: Final answer
    x = 41,113.61

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.