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Finding the Third Proportional to 2,647.69 and 3,035.81

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Solution

The third proportional to 2,647.69 and 3,035.81 is: 3,480.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.69 : 3,035.81 = 3,035.81 : x
  2. Step 2: Convert to fraction form
    2,647.69/3,035.81 = 3,035.81/x
  3. Step 3: Cross multiply
    2,647.69x = 3,035.81 × 3,035.81
  4. Step 4: Simplify right side
    2,647.69x = 9,216,157.54
  5. Step 5: Solve for x
    x = 9,216,157.54/2,647.69
  6. Step 6: Final answer
    x = 3,480.83

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.