Finding the Third Proportional to 41,978 and 58,687
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Solution
The third proportional to 41,978 and 58,687 is: 82,046.88
Step by Step Solution
- Step 1: Write the proportion equation
41,978 : 58,687 = 58,687 : x - Step 2: Convert to fraction form
41,978/58,687 = 58,687/x - Step 3: Cross multiply
41,978x = 58,687 × 58,687 - Step 4: Simplify right side
41,978x = 3,444,163,969 - Step 5: Solve for x
x = 3,444,163,969/41,978 - Step 6: Final answer
x = 82,046.88
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.