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Finding the Third Proportional to 6,811.13 and 14,361.75

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Solution

The third proportional to 6,811.13 and 14,361.75 is: 30,282.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.13 : 14,361.75 = 14,361.75 : x
  2. Step 2: Convert to fraction form
    6,811.13/14,361.75 = 14,361.75/x
  3. Step 3: Cross multiply
    6,811.13x = 14,361.75 × 14,361.75
  4. Step 4: Simplify right side
    6,811.13x = 206,259,863.06
  5. Step 5: Solve for x
    x = 206,259,863.06/6,811.13
  6. Step 6: Final answer
    x = 30,282.79

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.