Finding the Third Proportional to 32,032 and 50,914
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Solution
The third proportional to 32,032 and 50,914 is: 80,926.43
Step by Step Solution
- Step 1: Write the proportion equation
32,032 : 50,914 = 50,914 : x - Step 2: Convert to fraction form
32,032/50,914 = 50,914/x - Step 3: Cross multiply
32,032x = 50,914 × 50,914 - Step 4: Simplify right side
32,032x = 2,592,235,396 - Step 5: Solve for x
x = 2,592,235,396/32,032 - Step 6: Final answer
x = 80,926.43
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Why These Related Problems?
These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.