Finding the Third Proportional to 34,978 and 73,898
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Solution
The third proportional to 34,978 and 73,898 is: 156,124.26
Step by Step Solution
- Step 1: Write the proportion equation
34,978 : 73,898 = 73,898 : x - Step 2: Convert to fraction form
34,978/73,898 = 73,898/x - Step 3: Cross multiply
34,978x = 73,898 × 73,898 - Step 4: Simplify right side
34,978x = 5,460,914,404 - Step 5: Solve for x
x = 5,460,914,404/34,978 - Step 6: Final answer
x = 156,124.26
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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.