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Finding the Third Proportional to 33,590 and 46,995

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Solution

The third proportional to 33,590 and 46,995 is: 65,749.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,590 : 46,995 = 46,995 : x
  2. Step 2: Convert to fraction form
    33,590/46,995 = 46,995/x
  3. Step 3: Cross multiply
    33,590x = 46,995 × 46,995
  4. Step 4: Simplify right side
    33,590x = 2,208,530,025
  5. Step 5: Solve for x
    x = 2,208,530,025/33,590
  6. Step 6: Final answer
    x = 65,749.63

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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.