Finding the Third Proportional to 1,458 and 2,182
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Solution
The third proportional to 1,458 and 2,182 is: 3,265.52
Step by Step Solution
- Step 1: Write the proportion equation
1,458 : 2,182 = 2,182 : x - Step 2: Convert to fraction form
1,458/2,182 = 2,182/x - Step 3: Cross multiply
1,458x = 2,182 × 2,182 - Step 4: Simplify right side
1,458x = 4,761,124 - Step 5: Solve for x
x = 4,761,124/1,458 - Step 6: Final answer
x = 3,265.52
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.