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Finding the Third Proportional to 9,439.25 and 13,885.25

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Solution

The third proportional to 9,439.25 and 13,885.25 is: 20,425.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,439.25 : 13,885.25 = 13,885.25 : x
  2. Step 2: Convert to fraction form
    9,439.25/13,885.25 = 13,885.25/x
  3. Step 3: Cross multiply
    9,439.25x = 13,885.25 × 13,885.25
  4. Step 4: Simplify right side
    9,439.25x = 192,800,167.56
  5. Step 5: Solve for x
    x = 192,800,167.56/9,439.25
  6. Step 6: Final answer
    x = 20,425.37

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.