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Finding the Third Proportional to 4,812.05 and 7,147.69

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Solution

The third proportional to 4,812.05 and 7,147.69 is: 10,616.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,812.05 : 7,147.69 = 7,147.69 : x
  2. Step 2: Convert to fraction form
    4,812.05/7,147.69 = 7,147.69/x
  3. Step 3: Cross multiply
    4,812.05x = 7,147.69 × 7,147.69
  4. Step 4: Simplify right side
    4,812.05x = 51,089,436.60
  5. Step 5: Solve for x
    x = 51,089,436.60/4,812.05
  6. Step 6: Final answer
    x = 10,616.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.