Finding the Third Proportional to 6,378.75 and 14,397.75
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Solution
The third proportional to 6,378.75 and 14,397.75 is: 32,497.78
Step by Step Solution
- Step 1: Write the proportion equation
6,378.75 : 14,397.75 = 14,397.75 : x - Step 2: Convert to fraction form
6,378.75/14,397.75 = 14,397.75/x - Step 3: Cross multiply
6,378.75x = 14,397.75 × 14,397.75 - Step 4: Simplify right side
6,378.75x = 207,295,205.06 - Step 5: Solve for x
x = 207,295,205.06/6,378.75 - Step 6: Final answer
x = 32,497.78
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Why These Related Problems?
These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.