Finding the Third Proportional to 21,208 and 31,799
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Solution
The third proportional to 21,208 and 31,799 is: 47,679.01
Step by Step Solution
- Step 1: Write the proportion equation
21,208 : 31,799 = 31,799 : x - Step 2: Convert to fraction form
21,208/31,799 = 31,799/x - Step 3: Cross multiply
21,208x = 31,799 × 31,799 - Step 4: Simplify right side
21,208x = 1,011,176,401 - Step 5: Solve for x
x = 1,011,176,401/21,208 - Step 6: Final answer
x = 47,679.01
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.