Finding the Third Proportional to 20,760 and 31,910
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Solution
The third proportional to 20,760 and 31,910 is: 49,048.56
Step by Step Solution
- Step 1: Write the proportion equation
20,760 : 31,910 = 31,910 : x - Step 2: Convert to fraction form
20,760/31,910 = 31,910/x - Step 3: Cross multiply
20,760x = 31,910 × 31,910 - Step 4: Simplify right side
20,760x = 1,018,248,100 - Step 5: Solve for x
x = 1,018,248,100/20,760 - Step 6: Final answer
x = 49,048.56
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.