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Finding the Third Proportional to 41,227 and 62,222

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Solution

The third proportional to 41,227 and 62,222 is: 93,908.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,227 : 62,222 = 62,222 : x
  2. Step 2: Convert to fraction form
    41,227/62,222 = 62,222/x
  3. Step 3: Cross multiply
    41,227x = 62,222 × 62,222
  4. Step 4: Simplify right side
    41,227x = 3,871,577,284
  5. Step 5: Solve for x
    x = 3,871,577,284/41,227
  6. Step 6: Final answer
    x = 93,908.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.