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Finding the Third Proportional to 4,066 and 5,945

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Solution

The third proportional to 4,066 and 5,945 is: 8,692.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,066 : 5,945 = 5,945 : x
  2. Step 2: Convert to fraction form
    4,066/5,945 = 5,945/x
  3. Step 3: Cross multiply
    4,066x = 5,945 × 5,945
  4. Step 4: Simplify right side
    4,066x = 35,343,025
  5. Step 5: Solve for x
    x = 35,343,025/4,066
  6. Step 6: Final answer
    x = 8,692.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.