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Finding the Third Proportional to 1,173.94 and 2,755.97

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Solution

The third proportional to 1,173.94 and 2,755.97 is: 6,469.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.94 : 2,755.97 = 2,755.97 : x
  2. Step 2: Convert to fraction form
    1,173.94/2,755.97 = 2,755.97/x
  3. Step 3: Cross multiply
    1,173.94x = 2,755.97 × 2,755.97
  4. Step 4: Simplify right side
    1,173.94x = 7,595,363.75
  5. Step 5: Solve for x
    x = 7,595,363.75/1,173.94
  6. Step 6: Final answer
    x = 6,469.99

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.