Finding the Third Proportional to 15,741 and 32,211
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Solution
The third proportional to 15,741 and 32,211 is: 65,913.76
Step by Step Solution
- Step 1: Write the proportion equation
15,741 : 32,211 = 32,211 : x - Step 2: Convert to fraction form
15,741/32,211 = 32,211/x - Step 3: Cross multiply
15,741x = 32,211 × 32,211 - Step 4: Simplify right side
15,741x = 1,037,548,521 - Step 5: Solve for x
x = 1,037,548,521/15,741 - Step 6: Final answer
x = 65,913.76
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.