Finding the Third Proportional to 2,098 and 3,146
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Solution
The third proportional to 2,098 and 3,146 is: 4,717.50
Step by Step Solution
- Step 1: Write the proportion equation
2,098 : 3,146 = 3,146 : x - Step 2: Convert to fraction form
2,098/3,146 = 3,146/x - Step 3: Cross multiply
2,098x = 3,146 × 3,146 - Step 4: Simplify right side
2,098x = 9,897,316 - Step 5: Solve for x
x = 9,897,316/2,098 - Step 6: Final answer
x = 4,717.50
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.