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Finding the Third Proportional to 33,021.42 and 51,235.03

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Solution

The third proportional to 33,021.42 and 51,235.03 is: 79,494.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,021.42 : 51,235.03 = 51,235.03 : x
  2. Step 2: Convert to fraction form
    33,021.42/51,235.03 = 51,235.03/x
  3. Step 3: Cross multiply
    33,021.42x = 51,235.03 × 51,235.03
  4. Step 4: Simplify right side
    33,021.42x = 2,625,028,427.19
  5. Step 5: Solve for x
    x = 2,625,028,427.19/33,021.42
  6. Step 6: Final answer
    x = 79,494.71

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.