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Finding the Third Proportional to 1,906 and 4,166

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Solution

The third proportional to 1,906 and 4,166 is: 9,105.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906 : 4,166 = 4,166 : x
  2. Step 2: Convert to fraction form
    1,906/4,166 = 4,166/x
  3. Step 3: Cross multiply
    1,906x = 4,166 × 4,166
  4. Step 4: Simplify right side
    1,906x = 17,355,556
  5. Step 5: Solve for x
    x = 17,355,556/1,906
  6. Step 6: Final answer
    x = 9,105.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.