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Finding the Third Proportional to 33,643.13 and 50,842.69

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Solution

The third proportional to 33,643.13 and 50,842.69 is: 76,835.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,643.13 : 50,842.69 = 50,842.69 : x
  2. Step 2: Convert to fraction form
    33,643.13/50,842.69 = 50,842.69/x
  3. Step 3: Cross multiply
    33,643.13x = 50,842.69 × 50,842.69
  4. Step 4: Simplify right side
    33,643.13x = 2,584,978,872.22
  5. Step 5: Solve for x
    x = 2,584,978,872.22/33,643.13
  6. Step 6: Final answer
    x = 76,835.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.