Finding the Third Proportional to 49,414 and 73,986
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Solution
The third proportional to 49,414 and 73,986 is: 110,776.87
Step by Step Solution
- Step 1: Write the proportion equation
49,414 : 73,986 = 73,986 : x - Step 2: Convert to fraction form
49,414/73,986 = 73,986/x - Step 3: Cross multiply
49,414x = 73,986 × 73,986 - Step 4: Simplify right side
49,414x = 5,473,928,196 - Step 5: Solve for x
x = 5,473,928,196/49,414 - Step 6: Final answer
x = 110,776.87
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.