Finding the Third Proportional to 49,614 and 70,731
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Solution
The third proportional to 49,614 and 70,731 is: 100,835.94
Step by Step Solution
- Step 1: Write the proportion equation
49,614 : 70,731 = 70,731 : x - Step 2: Convert to fraction form
49,614/70,731 = 70,731/x - Step 3: Cross multiply
49,614x = 70,731 × 70,731 - Step 4: Simplify right side
49,614x = 5,002,874,361 - Step 5: Solve for x
x = 5,002,874,361/49,614 - Step 6: Final answer
x = 100,835.94
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Why These Related Problems?
These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.