Finding the Third Proportional to 7,200 and 14,760
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Solution
The third proportional to 7,200 and 14,760 is: 30,258
Step by Step Solution
- Step 1: Write the proportion equation
7,200 : 14,760 = 14,760 : x - Step 2: Convert to fraction form
7,200/14,760 = 14,760/x - Step 3: Cross multiply
7,200x = 14,760 × 14,760 - Step 4: Simplify right side
7,200x = 217,857,600 - Step 5: Solve for x
x = 217,857,600/7,200 - Step 6: Final answer
x = 30,258
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.