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Finding the Third Proportional to 33,405.75 and 53,268.75

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Solution

The third proportional to 33,405.75 and 53,268.75 is: 84,942.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,405.75 : 53,268.75 = 53,268.75 : x
  2. Step 2: Convert to fraction form
    33,405.75/53,268.75 = 53,268.75/x
  3. Step 3: Cross multiply
    33,405.75x = 53,268.75 × 53,268.75
  4. Step 4: Simplify right side
    33,405.75x = 2,837,559,726.56
  5. Step 5: Solve for x
    x = 2,837,559,726.56/33,405.75
  6. Step 6: Final answer
    x = 84,942.25

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.