Finding the Third Proportional to 31,832 and 49,132
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Solution
The third proportional to 31,832 and 49,132 is: 75,834.17
Step by Step Solution
- Step 1: Write the proportion equation
31,832 : 49,132 = 49,132 : x - Step 2: Convert to fraction form
31,832/49,132 = 49,132/x - Step 3: Cross multiply
31,832x = 49,132 × 49,132 - Step 4: Simplify right side
31,832x = 2,413,953,424 - Step 5: Solve for x
x = 2,413,953,424/31,832 - Step 6: Final answer
x = 75,834.17
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.