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Finding the Third Proportional to 5,811 and 10,926

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Solution

The third proportional to 5,811 and 10,926 is: 20,543.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811 : 10,926 = 10,926 : x
  2. Step 2: Convert to fraction form
    5,811/10,926 = 10,926/x
  3. Step 3: Cross multiply
    5,811x = 10,926 × 10,926
  4. Step 4: Simplify right side
    5,811x = 119,377,476
  5. Step 5: Solve for x
    x = 119,377,476/5,811
  6. Step 6: Final answer
    x = 20,543.36

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.