Finding the Third Proportional to 1,740 and 2,474
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Solution
The third proportional to 1,740 and 2,474 is: 3,517.63
Step by Step Solution
- Step 1: Write the proportion equation
1,740 : 2,474 = 2,474 : x - Step 2: Convert to fraction form
1,740/2,474 = 2,474/x - Step 3: Cross multiply
1,740x = 2,474 × 2,474 - Step 4: Simplify right side
1,740x = 6,120,676 - Step 5: Solve for x
x = 6,120,676/1,740 - Step 6: Final answer
x = 3,517.63
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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.