Finding the Third Proportional to 2,024 and 3,177
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Solution
The third proportional to 2,024 and 3,177 is: 4,986.82
Step by Step Solution
- Step 1: Write the proportion equation
2,024 : 3,177 = 3,177 : x - Step 2: Convert to fraction form
2,024/3,177 = 3,177/x - Step 3: Cross multiply
2,024x = 3,177 × 3,177 - Step 4: Simplify right side
2,024x = 10,093,329 - Step 5: Solve for x
x = 10,093,329/2,024 - Step 6: Final answer
x = 4,986.82
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Why These Related Problems?
These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.