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Finding the Third Proportional to 9,380.63 and 13,193.44

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Solution

The third proportional to 9,380.63 and 13,193.44 is: 18,555.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,380.63 : 13,193.44 = 13,193.44 : x
  2. Step 2: Convert to fraction form
    9,380.63/13,193.44 = 13,193.44/x
  3. Step 3: Cross multiply
    9,380.63x = 13,193.44 × 13,193.44
  4. Step 4: Simplify right side
    9,380.63x = 174,066,793.07
  5. Step 5: Solve for x
    x = 174,066,793.07/9,380.63
  6. Step 6: Final answer
    x = 18,555.99

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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.