Finding the Third Proportional to 33,096 and 46,296
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Solution
The third proportional to 33,096 and 46,296 is: 64,760.68
Step by Step Solution
- Step 1: Write the proportion equation
33,096 : 46,296 = 46,296 : x - Step 2: Convert to fraction form
33,096/46,296 = 46,296/x - Step 3: Cross multiply
33,096x = 46,296 × 46,296 - Step 4: Simplify right side
33,096x = 2,143,319,616 - Step 5: Solve for x
x = 2,143,319,616/33,096 - Step 6: Final answer
x = 64,760.68
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.