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Finding the Third Proportional to 4,168.69 and 9,839.81

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Solution

The third proportional to 4,168.69 and 9,839.81 is: 23,225.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,168.69 : 9,839.81 = 9,839.81 : x
  2. Step 2: Convert to fraction form
    4,168.69/9,839.81 = 9,839.81/x
  3. Step 3: Cross multiply
    4,168.69x = 9,839.81 × 9,839.81
  4. Step 4: Simplify right side
    4,168.69x = 96,821,910.04
  5. Step 5: Solve for x
    x = 96,821,910.04/4,168.69
  6. Step 6: Final answer
    x = 23,225.99

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.