Finding the Third Proportional to 32,969 and 71,410
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Solution
The third proportional to 32,969 and 71,410 is: 154,672.21
Step by Step Solution
- Step 1: Write the proportion equation
32,969 : 71,410 = 71,410 : x - Step 2: Convert to fraction form
32,969/71,410 = 71,410/x - Step 3: Cross multiply
32,969x = 71,410 × 71,410 - Step 4: Simplify right side
32,969x = 5,099,388,100 - Step 5: Solve for x
x = 5,099,388,100/32,969 - Step 6: Final answer
x = 154,672.21
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.