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Finding the Third Proportional to 1,021.13 and 1,571.44

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Solution

The third proportional to 1,021.13 and 1,571.44 is: 2,418.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.13 : 1,571.44 = 1,571.44 : x
  2. Step 2: Convert to fraction form
    1,021.13/1,571.44 = 1,571.44/x
  3. Step 3: Cross multiply
    1,021.13x = 1,571.44 × 1,571.44
  4. Step 4: Simplify right side
    1,021.13x = 2,469,415.82
  5. Step 5: Solve for x
    x = 2,469,415.82/1,021.13
  6. Step 6: Final answer
    x = 2,418.33

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.