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Finding the Third Proportional to 9,431.44 and 14,796.42

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Solution

The third proportional to 9,431.44 and 14,796.42 is: 23,213.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,431.44 : 14,796.42 = 14,796.42 : x
  2. Step 2: Convert to fraction form
    9,431.44/14,796.42 = 14,796.42/x
  3. Step 3: Cross multiply
    9,431.44x = 14,796.42 × 14,796.42
  4. Step 4: Simplify right side
    9,431.44x = 218,934,100.30
  5. Step 5: Solve for x
    x = 218,934,100.30/9,431.44
  6. Step 6: Final answer
    x = 23,213.23

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.