Finding the Third Proportional to 2,406 and 3,514.50
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Solution
The third proportional to 2,406 and 3,514.50 is: 5,133.71
Step by Step Solution
- Step 1: Write the proportion equation
2,406 : 3,514.50 = 3,514.50 : x - Step 2: Convert to fraction form
2,406/3,514.50 = 3,514.50/x - Step 3: Cross multiply
2,406x = 3,514.50 × 3,514.50 - Step 4: Simplify right side
2,406x = 12,351,710.25 - Step 5: Solve for x
x = 12,351,710.25/2,406 - Step 6: Final answer
x = 5,133.71
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.