Finding the Third Proportional to 2,024 and 3,916
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Solution
The third proportional to 2,024 and 3,916 is: 7,576.61
Step by Step Solution
- Step 1: Write the proportion equation
2,024 : 3,916 = 3,916 : x - Step 2: Convert to fraction form
2,024/3,916 = 3,916/x - Step 3: Cross multiply
2,024x = 3,916 × 3,916 - Step 4: Simplify right side
2,024x = 15,335,056 - Step 5: Solve for x
x = 15,335,056/2,024 - Step 6: Final answer
x = 7,576.61
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Why These Related Problems?
These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.