Finding the Third Proportional to 5,839.50 and 12,650
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Solution
The third proportional to 5,839.50 and 12,650 is: 27,403.46
Step by Step Solution
- Step 1: Write the proportion equation
5,839.50 : 12,650 = 12,650 : x - Step 2: Convert to fraction form
5,839.50/12,650 = 12,650/x - Step 3: Cross multiply
5,839.50x = 12,650 × 12,650 - Step 4: Simplify right side
5,839.50x = 160,022,500 - Step 5: Solve for x
x = 160,022,500/5,839.50 - Step 6: Final answer
x = 27,403.46
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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.