Finding the Third Proportional to 549 and 1,302
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Solution
The third proportional to 549 and 1,302 is: 3,087.80
Step by Step Solution
- Step 1: Write the proportion equation
549 : 1,302 = 1,302 : x - Step 2: Convert to fraction form
549/1,302 = 1,302/x - Step 3: Cross multiply
549x = 1,302 × 1,302 - Step 4: Simplify right side
549x = 1,695,204 - Step 5: Solve for x
x = 1,695,204/549 - Step 6: Final answer
x = 3,087.80
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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.