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Finding the Third Proportional to 1,399.96 and 2,110.75

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Solution

The third proportional to 1,399.96 and 2,110.75 is: 3,182.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.96 : 2,110.75 = 2,110.75 : x
  2. Step 2: Convert to fraction form
    1,399.96/2,110.75 = 2,110.75/x
  3. Step 3: Cross multiply
    1,399.96x = 2,110.75 × 2,110.75
  4. Step 4: Simplify right side
    1,399.96x = 4,455,249.07
  5. Step 5: Solve for x
    x = 4,455,249.07/1,399.96
  6. Step 6: Final answer
    x = 3,182.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.