Finding the Third Proportional to 6,540 and 14,022
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Solution
The third proportional to 6,540 and 14,022 is: 30,063.68
Step by Step Solution
- Step 1: Write the proportion equation
6,540 : 14,022 = 14,022 : x - Step 2: Convert to fraction form
6,540/14,022 = 14,022/x - Step 3: Cross multiply
6,540x = 14,022 × 14,022 - Step 4: Simplify right side
6,540x = 196,616,484 - Step 5: Solve for x
x = 196,616,484/6,540 - Step 6: Final answer
x = 30,063.68
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.