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Finding the Third Proportional to 3,926 and 5,989

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Solution

The third proportional to 3,926 and 5,989 is: 9,136.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,926 : 5,989 = 5,989 : x
  2. Step 2: Convert to fraction form
    3,926/5,989 = 5,989/x
  3. Step 3: Cross multiply
    3,926x = 5,989 × 5,989
  4. Step 4: Simplify right side
    3,926x = 35,868,121
  5. Step 5: Solve for x
    x = 35,868,121/3,926
  6. Step 6: Final answer
    x = 9,136.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.