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Finding the Third Proportional to 4,117 and 8,027

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Solution

The third proportional to 4,117 and 8,027 is: 15,650.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,117 : 8,027 = 8,027 : x
  2. Step 2: Convert to fraction form
    4,117/8,027 = 8,027/x
  3. Step 3: Cross multiply
    4,117x = 8,027 × 8,027
  4. Step 4: Simplify right side
    4,117x = 64,432,729
  5. Step 5: Solve for x
    x = 64,432,729/4,117
  6. Step 6: Final answer
    x = 15,650.41

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.