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Finding the Third Proportional to 1,057.22 and 1,639.41

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Solution

The third proportional to 1,057.22 and 1,639.41 is: 2,542.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.22 : 1,639.41 = 1,639.41 : x
  2. Step 2: Convert to fraction form
    1,057.22/1,639.41 = 1,639.41/x
  3. Step 3: Cross multiply
    1,057.22x = 1,639.41 × 1,639.41
  4. Step 4: Simplify right side
    1,057.22x = 2,687,652.85
  5. Step 5: Solve for x
    x = 2,687,652.85/1,057.22
  6. Step 6: Final answer
    x = 2,542.19

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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.