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Finding the Third Proportional to 9,308.25 and 13,020.75

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Solution

The third proportional to 9,308.25 and 13,020.75 is: 18,213.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,308.25 : 13,020.75 = 13,020.75 : x
  2. Step 2: Convert to fraction form
    9,308.25/13,020.75 = 13,020.75/x
  3. Step 3: Cross multiply
    9,308.25x = 13,020.75 × 13,020.75
  4. Step 4: Simplify right side
    9,308.25x = 169,539,930.56
  5. Step 5: Solve for x
    x = 169,539,930.56/9,308.25
  6. Step 6: Final answer
    x = 18,213.94

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.