Finding the Third Proportional to 32,096 and 48,056
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Solution
The third proportional to 32,096 and 48,056 is: 71,952.24
Step by Step Solution
- Step 1: Write the proportion equation
32,096 : 48,056 = 48,056 : x - Step 2: Convert to fraction form
32,096/48,056 = 48,056/x - Step 3: Cross multiply
32,096x = 48,056 × 48,056 - Step 4: Simplify right side
32,096x = 2,309,379,136 - Step 5: Solve for x
x = 2,309,379,136/32,096 - Step 6: Final answer
x = 71,952.24
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.