Finding the Third Proportional to 47,083.50 and 100,647
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Solution
The third proportional to 47,083.50 and 100,647 is: 215,145.83
Step by Step Solution
- Step 1: Write the proportion equation
47,083.50 : 100,647 = 100,647 : x - Step 2: Convert to fraction form
47,083.50/100,647 = 100,647/x - Step 3: Cross multiply
47,083.50x = 100,647 × 100,647 - Step 4: Simplify right side
47,083.50x = 10,129,818,609 - Step 5: Solve for x
x = 10,129,818,609/47,083.50 - Step 6: Final answer
x = 215,145.83
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.