Finding the Third Proportional to 2,330 and 3,498
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Solution
The third proportional to 2,330 and 3,498 is: 5,251.50
Step by Step Solution
- Step 1: Write the proportion equation
2,330 : 3,498 = 3,498 : x - Step 2: Convert to fraction form
2,330/3,498 = 3,498/x - Step 3: Cross multiply
2,330x = 3,498 × 3,498 - Step 4: Simplify right side
2,330x = 12,236,004 - Step 5: Solve for x
x = 12,236,004/2,330 - Step 6: Final answer
x = 5,251.50
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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.