Finding the Third Proportional to 32,103 and 69,147
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Solution
The third proportional to 32,103 and 69,147 is: 148,936.47
Step by Step Solution
- Step 1: Write the proportion equation
32,103 : 69,147 = 69,147 : x - Step 2: Convert to fraction form
32,103/69,147 = 69,147/x - Step 3: Cross multiply
32,103x = 69,147 × 69,147 - Step 4: Simplify right side
32,103x = 4,781,307,609 - Step 5: Solve for x
x = 4,781,307,609/32,103 - Step 6: Final answer
x = 148,936.47
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.