Finding the Third Proportional to 49,041 and 76,074
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Solution
The third proportional to 49,041 and 76,074 is: 118,008.47
Step by Step Solution
- Step 1: Write the proportion equation
49,041 : 76,074 = 76,074 : x - Step 2: Convert to fraction form
49,041/76,074 = 76,074/x - Step 3: Cross multiply
49,041x = 76,074 × 76,074 - Step 4: Simplify right side
49,041x = 5,787,253,476 - Step 5: Solve for x
x = 5,787,253,476/49,041 - Step 6: Final answer
x = 118,008.47
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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.