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Finding the Third Proportional to 9,231.75 and 20,308.50

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Solution

The third proportional to 9,231.75 and 20,308.50 is: 44,675.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231.75 : 20,308.50 = 20,308.50 : x
  2. Step 2: Convert to fraction form
    9,231.75/20,308.50 = 20,308.50/x
  3. Step 3: Cross multiply
    9,231.75x = 20,308.50 × 20,308.50
  4. Step 4: Simplify right side
    9,231.75x = 412,435,172.25
  5. Step 5: Solve for x
    x = 412,435,172.25/9,231.75
  6. Step 6: Final answer
    x = 44,675.73

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.