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Finding the Third Proportional to 3,164.06 and 6,950.81

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Solution

The third proportional to 3,164.06 and 6,950.81 is: 15,269.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.06 : 6,950.81 = 6,950.81 : x
  2. Step 2: Convert to fraction form
    3,164.06/6,950.81 = 6,950.81/x
  3. Step 3: Cross multiply
    3,164.06x = 6,950.81 × 6,950.81
  4. Step 4: Simplify right side
    3,164.06x = 48,313,794.41
  5. Step 5: Solve for x
    x = 48,313,794.41/3,164.06
  6. Step 6: Final answer
    x = 15,269.54

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.