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Finding the Third Proportional to 30,183.75 and 65,553.38

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Solution

The third proportional to 30,183.75 and 65,553.38 is: 142,369.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,183.75 : 65,553.38 = 65,553.38 : x
  2. Step 2: Convert to fraction form
    30,183.75/65,553.38 = 65,553.38/x
  3. Step 3: Cross multiply
    30,183.75x = 65,553.38 × 65,553.38
  4. Step 4: Simplify right side
    30,183.75x = 4,297,244,973.89
  5. Step 5: Solve for x
    x = 4,297,244,973.89/30,183.75
  6. Step 6: Final answer
    x = 142,369.49

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.