Finding the Third Proportional to 21,703.50 and 47,049
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Solution
The third proportional to 21,703.50 and 47,049 is: 101,993.15
Step by Step Solution
- Step 1: Write the proportion equation
21,703.50 : 47,049 = 47,049 : x - Step 2: Convert to fraction form
21,703.50/47,049 = 47,049/x - Step 3: Cross multiply
21,703.50x = 47,049 × 47,049 - Step 4: Simplify right side
21,703.50x = 2,213,608,401 - Step 5: Solve for x
x = 2,213,608,401/21,703.50 - Step 6: Final answer
x = 101,993.15
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.