Finding the Third Proportional to 46,978 and 62,627
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Solution
The third proportional to 46,978 and 62,627 is: 83,488.89
Step by Step Solution
- Step 1: Write the proportion equation
46,978 : 62,627 = 62,627 : x - Step 2: Convert to fraction form
46,978/62,627 = 62,627/x - Step 3: Cross multiply
46,978x = 62,627 × 62,627 - Step 4: Simplify right side
46,978x = 3,922,141,129 - Step 5: Solve for x
x = 3,922,141,129/46,978 - Step 6: Final answer
x = 83,488.89
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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.