Finding the Third Proportional to 32,042 and 71,077
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Solution
The third proportional to 32,042 and 71,077 is: 157,666.19
Step by Step Solution
- Step 1: Write the proportion equation
32,042 : 71,077 = 71,077 : x - Step 2: Convert to fraction form
32,042/71,077 = 71,077/x - Step 3: Cross multiply
32,042x = 71,077 × 71,077 - Step 4: Simplify right side
32,042x = 5,051,939,929 - Step 5: Solve for x
x = 5,051,939,929/32,042 - Step 6: Final answer
x = 157,666.19
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Why These Related Problems?
These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.