Finding the Third Proportional to 49,634 and 76,755
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Solution
The third proportional to 49,634 and 76,755 is: 118,695.45
Step by Step Solution
- Step 1: Write the proportion equation
49,634 : 76,755 = 76,755 : x - Step 2: Convert to fraction form
49,634/76,755 = 76,755/x - Step 3: Cross multiply
49,634x = 76,755 × 76,755 - Step 4: Simplify right side
49,634x = 5,891,330,025 - Step 5: Solve for x
x = 5,891,330,025/49,634 - Step 6: Final answer
x = 118,695.45
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.