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Finding the Third Proportional to 33,675.75 and 46,101.66

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Solution

The third proportional to 33,675.75 and 46,101.66 is: 63,112.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,675.75 : 46,101.66 = 46,101.66 : x
  2. Step 2: Convert to fraction form
    33,675.75/46,101.66 = 46,101.66/x
  3. Step 3: Cross multiply
    33,675.75x = 46,101.66 × 46,101.66
  4. Step 4: Simplify right side
    33,675.75x = 2,125,362,708.99
  5. Step 5: Solve for x
    x = 2,125,362,708.99/33,675.75
  6. Step 6: Final answer
    x = 63,112.56

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.