Finding the Third Proportional to 49,734 and 70,812
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Solution
The third proportional to 49,734 and 70,812 is: 100,823.17
Step by Step Solution
- Step 1: Write the proportion equation
49,734 : 70,812 = 70,812 : x - Step 2: Convert to fraction form
49,734/70,812 = 70,812/x - Step 3: Cross multiply
49,734x = 70,812 × 70,812 - Step 4: Simplify right side
49,734x = 5,014,339,344 - Step 5: Solve for x
x = 5,014,339,344/49,734 - Step 6: Final answer
x = 100,823.17
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Why These Related Problems?
These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.