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Finding the Third Proportional to 3,926 and 8,728

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Solution

The third proportional to 3,926 and 8,728 is: 19,403.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,926 : 8,728 = 8,728 : x
  2. Step 2: Convert to fraction form
    3,926/8,728 = 8,728/x
  3. Step 3: Cross multiply
    3,926x = 8,728 × 8,728
  4. Step 4: Simplify right side
    3,926x = 76,177,984
  5. Step 5: Solve for x
    x = 76,177,984/3,926
  6. Step 6: Final answer
    x = 19,403.46

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.