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Finding the Third Proportional to 1,965.94 and 2,755.69

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Solution

The third proportional to 1,965.94 and 2,755.69 is: 3,862.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.94 : 2,755.69 = 2,755.69 : x
  2. Step 2: Convert to fraction form
    1,965.94/2,755.69 = 2,755.69/x
  3. Step 3: Cross multiply
    1,965.94x = 2,755.69 × 2,755.69
  4. Step 4: Simplify right side
    1,965.94x = 7,593,813.60
  5. Step 5: Solve for x
    x = 7,593,813.60/1,965.94
  6. Step 6: Final answer
    x = 3,862.69

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.