Finding the Third Proportional to 23,423 and 41,647
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Solution
The third proportional to 23,423 and 41,647 is: 74,049.98
Step by Step Solution
- Step 1: Write the proportion equation
23,423 : 41,647 = 41,647 : x - Step 2: Convert to fraction form
23,423/41,647 = 41,647/x - Step 3: Cross multiply
23,423x = 41,647 × 41,647 - Step 4: Simplify right side
23,423x = 1,734,472,609 - Step 5: Solve for x
x = 1,734,472,609/23,423 - Step 6: Final answer
x = 74,049.98
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Why These Related Problems?
These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.