Finding the Third Proportional to 2,302 and 3,442
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Solution
The third proportional to 2,302 and 3,442 is: 5,146.55
Step by Step Solution
- Step 1: Write the proportion equation
2,302 : 3,442 = 3,442 : x - Step 2: Convert to fraction form
2,302/3,442 = 3,442/x - Step 3: Cross multiply
2,302x = 3,442 × 3,442 - Step 4: Simplify right side
2,302x = 11,847,364 - Step 5: Solve for x
x = 11,847,364/2,302 - Step 6: Final answer
x = 5,146.55
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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.