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Finding the Third Proportional to 9,380.25 and 13,191.75

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Solution

The third proportional to 9,380.25 and 13,191.75 is: 18,551.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,380.25 : 13,191.75 = 13,191.75 : x
  2. Step 2: Convert to fraction form
    9,380.25/13,191.75 = 13,191.75/x
  3. Step 3: Cross multiply
    9,380.25x = 13,191.75 × 13,191.75
  4. Step 4: Simplify right side
    9,380.25x = 174,022,268.06
  5. Step 5: Solve for x
    x = 174,022,268.06/9,380.25
  6. Step 6: Final answer
    x = 18,551.99

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.