Finding the Third Proportional to 32,957 and 71,098
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Solution
The third proportional to 32,957 and 71,098 is: 153,379.42
Step by Step Solution
- Step 1: Write the proportion equation
32,957 : 71,098 = 71,098 : x - Step 2: Convert to fraction form
32,957/71,098 = 71,098/x - Step 3: Cross multiply
32,957x = 71,098 × 71,098 - Step 4: Simplify right side
32,957x = 5,054,925,604 - Step 5: Solve for x
x = 5,054,925,604/32,957 - Step 6: Final answer
x = 153,379.42
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.