Finding the Third Proportional to 1,764 and 3,444
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Solution
The third proportional to 1,764 and 3,444 is: 6,724
Step by Step Solution
- Step 1: Write the proportion equation
1,764 : 3,444 = 3,444 : x - Step 2: Convert to fraction form
1,764/3,444 = 3,444/x - Step 3: Cross multiply
1,764x = 3,444 × 3,444 - Step 4: Simplify right side
1,764x = 11,861,136 - Step 5: Solve for x
x = 11,861,136/1,764 - Step 6: Final answer
x = 6,724
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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.