Finding the Third Proportional to 3,170 and 5,868
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Solution
The third proportional to 3,170 and 5,868 is: 10,862.28
Step by Step Solution
- Step 1: Write the proportion equation
3,170 : 5,868 = 5,868 : x - Step 2: Convert to fraction form
3,170/5,868 = 5,868/x - Step 3: Cross multiply
3,170x = 5,868 × 5,868 - Step 4: Simplify right side
3,170x = 34,433,424 - Step 5: Solve for x
x = 34,433,424/3,170 - Step 6: Final answer
x = 10,862.28
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Why These Related Problems?
These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.