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Finding the Third Proportional to 4,106 and 8,158

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Solution

The third proportional to 4,106 and 8,158 is: 16,208.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,106 : 8,158 = 8,158 : x
  2. Step 2: Convert to fraction form
    4,106/8,158 = 8,158/x
  3. Step 3: Cross multiply
    4,106x = 8,158 × 8,158
  4. Step 4: Simplify right side
    4,106x = 66,552,964
  5. Step 5: Solve for x
    x = 66,552,964/4,106
  6. Step 6: Final answer
    x = 16,208.71

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Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.