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Finding the Third Proportional to 33,945.75 and 44,642.25

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Solution

The third proportional to 33,945.75 and 44,642.25 is: 58,709.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,945.75 : 44,642.25 = 44,642.25 : x
  2. Step 2: Convert to fraction form
    33,945.75/44,642.25 = 44,642.25/x
  3. Step 3: Cross multiply
    33,945.75x = 44,642.25 × 44,642.25
  4. Step 4: Simplify right side
    33,945.75x = 1,992,930,485.06
  5. Step 5: Solve for x
    x = 1,992,930,485.06/33,945.75
  6. Step 6: Final answer
    x = 58,709.28

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.