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Finding the Third Proportional to 5,961.94 and 14,122.69

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Solution

The third proportional to 5,961.94 and 14,122.69 is: 33,453.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,961.94 : 14,122.69 = 14,122.69 : x
  2. Step 2: Convert to fraction form
    5,961.94/14,122.69 = 14,122.69/x
  3. Step 3: Cross multiply
    5,961.94x = 14,122.69 × 14,122.69
  4. Step 4: Simplify right side
    5,961.94x = 199,450,302.22
  5. Step 5: Solve for x
    x = 199,450,302.22/5,961.94
  6. Step 6: Final answer
    x = 33,453.94

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.