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Finding the Third Proportional to 41,832 and 62,028

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Solution

The third proportional to 41,832 and 62,028 is: 91,974.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,832 : 62,028 = 62,028 : x
  2. Step 2: Convert to fraction form
    41,832/62,028 = 62,028/x
  3. Step 3: Cross multiply
    41,832x = 62,028 × 62,028
  4. Step 4: Simplify right side
    41,832x = 3,847,472,784
  5. Step 5: Solve for x
    x = 3,847,472,784/41,832
  6. Step 6: Final answer
    x = 91,974.39

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.