Finding the Third Proportional to 36,092 and 86,949
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Solution
The third proportional to 36,092 and 86,949 is: 209,468.26
Step by Step Solution
- Step 1: Write the proportion equation
36,092 : 86,949 = 86,949 : x - Step 2: Convert to fraction form
36,092/86,949 = 86,949/x - Step 3: Cross multiply
36,092x = 86,949 × 86,949 - Step 4: Simplify right side
36,092x = 7,560,128,601 - Step 5: Solve for x
x = 7,560,128,601/36,092 - Step 6: Final answer
x = 209,468.26
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Why These Related Problems?
These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.