Finding the Third Proportional to 34,465.50 and 71,847
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Solution
The third proportional to 34,465.50 and 71,847 is: 149,772.71
Step by Step Solution
- Step 1: Write the proportion equation
34,465.50 : 71,847 = 71,847 : x - Step 2: Convert to fraction form
34,465.50/71,847 = 71,847/x - Step 3: Cross multiply
34,465.50x = 71,847 × 71,847 - Step 4: Simplify right side
34,465.50x = 5,161,991,409 - Step 5: Solve for x
x = 5,161,991,409/34,465.50 - Step 6: Final answer
x = 149,772.71
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.