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Finding the Third Proportional to 33,530 and 46,990

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Solution

The third proportional to 33,530 and 46,990 is: 65,853.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,530 : 46,990 = 46,990 : x
  2. Step 2: Convert to fraction form
    33,530/46,990 = 46,990/x
  3. Step 3: Cross multiply
    33,530x = 46,990 × 46,990
  4. Step 4: Simplify right side
    33,530x = 2,208,060,100
  5. Step 5: Solve for x
    x = 2,208,060,100/33,530
  6. Step 6: Final answer
    x = 65,853.27

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.