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Finding the Third Proportional to 41,036 and 62,790

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Solution

The third proportional to 41,036 and 62,790 is: 96,076.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,036 : 62,790 = 62,790 : x
  2. Step 2: Convert to fraction form
    41,036/62,790 = 62,790/x
  3. Step 3: Cross multiply
    41,036x = 62,790 × 62,790
  4. Step 4: Simplify right side
    41,036x = 3,942,584,100
  5. Step 5: Solve for x
    x = 3,942,584,100/41,036
  6. Step 6: Final answer
    x = 96,076.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.