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Finding the Third Proportional to 3,066 and 4,085

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Solution

The third proportional to 3,066 and 4,085 is: 5,442.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066 : 4,085 = 4,085 : x
  2. Step 2: Convert to fraction form
    3,066/4,085 = 4,085/x
  3. Step 3: Cross multiply
    3,066x = 4,085 × 4,085
  4. Step 4: Simplify right side
    3,066x = 16,687,225
  5. Step 5: Solve for x
    x = 16,687,225/3,066
  6. Step 6: Final answer
    x = 5,442.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.