Finding the Third Proportional to 2,329 and 3,491
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Solution
The third proportional to 2,329 and 3,491 is: 5,232.75
Step by Step Solution
- Step 1: Write the proportion equation
2,329 : 3,491 = 3,491 : x - Step 2: Convert to fraction form
2,329/3,491 = 3,491/x - Step 3: Cross multiply
2,329x = 3,491 × 3,491 - Step 4: Simplify right side
2,329x = 12,187,081 - Step 5: Solve for x
x = 12,187,081/2,329 - Step 6: Final answer
x = 5,232.75
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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.