Finding the Third Proportional to 924 and 2,096
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Solution
The third proportional to 924 and 2,096 is: 4,754.56
Step by Step Solution
- Step 1: Write the proportion equation
924 : 2,096 = 2,096 : x - Step 2: Convert to fraction form
924/2,096 = 2,096/x - Step 3: Cross multiply
924x = 2,096 × 2,096 - Step 4: Simplify right side
924x = 4,393,216 - Step 5: Solve for x
x = 4,393,216/924 - Step 6: Final answer
x = 4,754.56
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Why These Related Problems?
These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.