Finding the Third Proportional to 1,694 and 2,310
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Solution
The third proportional to 1,694 and 2,310 is: 3,150
Step by Step Solution
- Step 1: Write the proportion equation
1,694 : 2,310 = 2,310 : x - Step 2: Convert to fraction form
1,694/2,310 = 2,310/x - Step 3: Cross multiply
1,694x = 2,310 × 2,310 - Step 4: Simplify right side
1,694x = 5,336,100 - Step 5: Solve for x
x = 5,336,100/1,694 - Step 6: Final answer
x = 3,150
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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.