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Finding the Third Proportional to 4,027 and 8,491

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Solution

The third proportional to 4,027 and 8,491 is: 17,903.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,027 : 8,491 = 8,491 : x
  2. Step 2: Convert to fraction form
    4,027/8,491 = 8,491/x
  3. Step 3: Cross multiply
    4,027x = 8,491 × 8,491
  4. Step 4: Simplify right side
    4,027x = 72,097,081
  5. Step 5: Solve for x
    x = 72,097,081/4,027
  6. Step 6: Final answer
    x = 17,903.42

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.