Finding the Third Proportional to 32,906 and 71,652
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Solution
The third proportional to 32,906 and 71,652 is: 156,020.46
Step by Step Solution
- Step 1: Write the proportion equation
32,906 : 71,652 = 71,652 : x - Step 2: Convert to fraction form
32,906/71,652 = 71,652/x - Step 3: Cross multiply
32,906x = 71,652 × 71,652 - Step 4: Simplify right side
32,906x = 5,134,009,104 - Step 5: Solve for x
x = 5,134,009,104/32,906 - Step 6: Final answer
x = 156,020.46
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.