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Finding the Third Proportional to 1,371.94 and 3,256.03

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Solution

The third proportional to 1,371.94 and 3,256.03 is: 7,727.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.94 : 3,256.03 = 3,256.03 : x
  2. Step 2: Convert to fraction form
    1,371.94/3,256.03 = 3,256.03/x
  3. Step 3: Cross multiply
    1,371.94x = 3,256.03 × 3,256.03
  4. Step 4: Simplify right side
    1,371.94x = 10,601,739.50
  5. Step 5: Solve for x
    x = 10,601,739.50/1,371.94
  6. Step 6: Final answer
    x = 7,727.57

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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.