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Finding the Third Proportional to 5,811 and 14,007

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Solution

The third proportional to 5,811 and 14,007 is: 33,762.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811 : 14,007 = 14,007 : x
  2. Step 2: Convert to fraction form
    5,811/14,007 = 14,007/x
  3. Step 3: Cross multiply
    5,811x = 14,007 × 14,007
  4. Step 4: Simplify right side
    5,811x = 196,196,049
  5. Step 5: Solve for x
    x = 196,196,049/5,811
  6. Step 6: Final answer
    x = 33,762.87

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.