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Finding the Third Proportional to 4,066 and 5,838

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Solution

The third proportional to 4,066 and 5,838 is: 8,382.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,066 : 5,838 = 5,838 : x
  2. Step 2: Convert to fraction form
    4,066/5,838 = 5,838/x
  3. Step 3: Cross multiply
    4,066x = 5,838 × 5,838
  4. Step 4: Simplify right side
    4,066x = 34,082,244
  5. Step 5: Solve for x
    x = 34,082,244/4,066
  6. Step 6: Final answer
    x = 8,382.25

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.