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Finding the Third Proportional to 9,623.25 and 20,679.38

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Solution

The third proportional to 9,623.25 and 20,679.38 is: 44,437.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,623.25 : 20,679.38 = 20,679.38 : x
  2. Step 2: Convert to fraction form
    9,623.25/20,679.38 = 20,679.38/x
  3. Step 3: Cross multiply
    9,623.25x = 20,679.38 × 20,679.38
  4. Step 4: Simplify right side
    9,623.25x = 427,636,550.39
  5. Step 5: Solve for x
    x = 427,636,550.39/9,623.25
  6. Step 6: Final answer
    x = 44,437.85

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.