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Finding the Third Proportional to 36,622 and 58,101

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Solution

The third proportional to 36,622 and 58,101 is: 92,177.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,622 : 58,101 = 58,101 : x
  2. Step 2: Convert to fraction form
    36,622/58,101 = 58,101/x
  3. Step 3: Cross multiply
    36,622x = 58,101 × 58,101
  4. Step 4: Simplify right side
    36,622x = 3,375,726,201
  5. Step 5: Solve for x
    x = 3,375,726,201/36,622
  6. Step 6: Final answer
    x = 92,177.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.