Finding the Third Proportional to 32,967 and 49,086
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Solution
The third proportional to 32,967 and 49,086 is: 73,086.28
Step by Step Solution
- Step 1: Write the proportion equation
32,967 : 49,086 = 49,086 : x - Step 2: Convert to fraction form
32,967/49,086 = 49,086/x - Step 3: Cross multiply
32,967x = 49,086 × 49,086 - Step 4: Simplify right side
32,967x = 2,409,435,396 - Step 5: Solve for x
x = 2,409,435,396/32,967 - Step 6: Final answer
x = 73,086.28
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.