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Finding the Third Proportional to 3,329.75 and 4,796.38

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Solution

The third proportional to 3,329.75 and 4,796.38 is: 6,908.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,329.75 : 4,796.38 = 4,796.38 : x
  2. Step 2: Convert to fraction form
    3,329.75/4,796.38 = 4,796.38/x
  3. Step 3: Cross multiply
    3,329.75x = 4,796.38 × 4,796.38
  4. Step 4: Simplify right side
    3,329.75x = 23,005,213.14
  5. Step 5: Solve for x
    x = 23,005,213.14/3,329.75
  6. Step 6: Final answer
    x = 6,908.99

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.