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Finding the Third Proportional to 2,811 and 4,014

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Solution

The third proportional to 2,811 and 4,014 is: 5,731.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811 : 4,014 = 4,014 : x
  2. Step 2: Convert to fraction form
    2,811/4,014 = 4,014/x
  3. Step 3: Cross multiply
    2,811x = 4,014 × 4,014
  4. Step 4: Simplify right side
    2,811x = 16,112,196
  5. Step 5: Solve for x
    x = 16,112,196/2,811
  6. Step 6: Final answer
    x = 5,731.84

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.