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Finding the Third Proportional to 33,532 and 46,993

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Solution

The third proportional to 33,532 and 46,993 is: 65,857.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,532 : 46,993 = 46,993 : x
  2. Step 2: Convert to fraction form
    33,532/46,993 = 46,993/x
  3. Step 3: Cross multiply
    33,532x = 46,993 × 46,993
  4. Step 4: Simplify right side
    33,532x = 2,208,342,049
  5. Step 5: Solve for x
    x = 2,208,342,049/33,532
  6. Step 6: Final answer
    x = 65,857.75

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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.