Finding the Third Proportional to 32,416 and 69,800
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Solution
The third proportional to 32,416 and 69,800 is: 150,297.38
Step by Step Solution
- Step 1: Write the proportion equation
32,416 : 69,800 = 69,800 : x - Step 2: Convert to fraction form
32,416/69,800 = 69,800/x - Step 3: Cross multiply
32,416x = 69,800 × 69,800 - Step 4: Simplify right side
32,416x = 4,872,040,000 - Step 5: Solve for x
x = 4,872,040,000/32,416 - Step 6: Final answer
x = 150,297.38
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.