Finding the Third Proportional to 32,450 and 70,406
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Solution
The third proportional to 32,450 and 70,406 is: 152,758.24
Step by Step Solution
- Step 1: Write the proportion equation
32,450 : 70,406 = 70,406 : x - Step 2: Convert to fraction form
32,450/70,406 = 70,406/x - Step 3: Cross multiply
32,450x = 70,406 × 70,406 - Step 4: Simplify right side
32,450x = 4,957,004,836 - Step 5: Solve for x
x = 4,957,004,836/32,450 - Step 6: Final answer
x = 152,758.24
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.