Finding the Third Proportional to 4,900 and 10,772
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Solution
The third proportional to 4,900 and 10,772 is: 23,680.81
Step by Step Solution
- Step 1: Write the proportion equation
4,900 : 10,772 = 10,772 : x - Step 2: Convert to fraction form
4,900/10,772 = 10,772/x - Step 3: Cross multiply
4,900x = 10,772 × 10,772 - Step 4: Simplify right side
4,900x = 116,035,984 - Step 5: Solve for x
x = 116,035,984/4,900 - Step 6: Final answer
x = 23,680.81
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.