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Finding the Third Proportional to 1,107.11 and 2,406.43

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Solution

The third proportional to 1,107.11 and 2,406.43 is: 5,230.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.11 : 2,406.43 = 2,406.43 : x
  2. Step 2: Convert to fraction form
    1,107.11/2,406.43 = 2,406.43/x
  3. Step 3: Cross multiply
    1,107.11x = 2,406.43 × 2,406.43
  4. Step 4: Simplify right side
    1,107.11x = 5,790,894.44
  5. Step 5: Solve for x
    x = 5,790,894.44/1,107.11
  6. Step 6: Final answer
    x = 5,230.66

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.