Finding the Third Proportional to 4,050 and 4,770
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Solution
The third proportional to 4,050 and 4,770 is: 5,618
Step by Step Solution
- Step 1: Write the proportion equation
4,050 : 4,770 = 4,770 : x - Step 2: Convert to fraction form
4,050/4,770 = 4,770/x - Step 3: Cross multiply
4,050x = 4,770 × 4,770 - Step 4: Simplify right side
4,050x = 22,752,900 - Step 5: Solve for x
x = 22,752,900/4,050 - Step 6: Final answer
x = 5,618
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Why These Related Problems?
These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.