Finding the Third Proportional to 5,690 and 6,734
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Solution
The third proportional to 5,690 and 6,734 is: 7,969.55
Step by Step Solution
- Step 1: Write the proportion equation
5,690 : 6,734 = 6,734 : x - Step 2: Convert to fraction form
5,690/6,734 = 6,734/x - Step 3: Cross multiply
5,690x = 6,734 × 6,734 - Step 4: Simplify right side
5,690x = 45,346,756 - Step 5: Solve for x
x = 45,346,756/5,690 - Step 6: Final answer
x = 7,969.55
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Why These Related Problems?
These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.