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Finding the Third Proportional to 3,069.56 and 4,115.81

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Solution

The third proportional to 3,069.56 and 4,115.81 is: 5,518.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.56 : 4,115.81 = 4,115.81 : x
  2. Step 2: Convert to fraction form
    3,069.56/4,115.81 = 4,115.81/x
  3. Step 3: Cross multiply
    3,069.56x = 4,115.81 × 4,115.81
  4. Step 4: Simplify right side
    3,069.56x = 16,939,912.54
  5. Step 5: Solve for x
    x = 16,939,912.54/3,069.56
  6. Step 6: Final answer
    x = 5,518.67

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.