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Finding the Third Proportional to 9,394.73 and 20,323.41

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Solution

The third proportional to 9,394.73 and 20,323.41 is: 43,965.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,394.73 : 20,323.41 = 20,323.41 : x
  2. Step 2: Convert to fraction form
    9,394.73/20,323.41 = 20,323.41/x
  3. Step 3: Cross multiply
    9,394.73x = 20,323.41 × 20,323.41
  4. Step 4: Simplify right side
    9,394.73x = 413,040,841.60
  5. Step 5: Solve for x
    x = 413,040,841.60/9,394.73
  6. Step 6: Final answer
    x = 43,965.14

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.