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Finding the Third Proportional to 1,255.82 and 1,940.68

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Solution

The third proportional to 1,255.82 and 1,940.68 is: 2,999.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.82 : 1,940.68 = 1,940.68 : x
  2. Step 2: Convert to fraction form
    1,255.82/1,940.68 = 1,940.68/x
  3. Step 3: Cross multiply
    1,255.82x = 1,940.68 × 1,940.68
  4. Step 4: Simplify right side
    1,255.82x = 3,766,230.07
  5. Step 5: Solve for x
    x = 3,766,230.07/1,255.82
  6. Step 6: Final answer
    x = 2,999.03

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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.