Finding the Third Proportional to 15,822 and 32,099
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Solution
The third proportional to 15,822 and 32,099 is: 65,121.08
Step by Step Solution
- Step 1: Write the proportion equation
15,822 : 32,099 = 32,099 : x - Step 2: Convert to fraction form
15,822/32,099 = 32,099/x - Step 3: Cross multiply
15,822x = 32,099 × 32,099 - Step 4: Simplify right side
15,822x = 1,030,345,801 - Step 5: Solve for x
x = 1,030,345,801/15,822 - Step 6: Final answer
x = 65,121.08
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Why These Related Problems?
These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.