Finding the Third Proportional to 31,144 and 49,580
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Solution
The third proportional to 31,144 and 49,580 is: 78,929.37
Step by Step Solution
- Step 1: Write the proportion equation
31,144 : 49,580 = 49,580 : x - Step 2: Convert to fraction form
31,144/49,580 = 49,580/x - Step 3: Cross multiply
31,144x = 49,580 × 49,580 - Step 4: Simplify right side
31,144x = 2,458,176,400 - Step 5: Solve for x
x = 2,458,176,400/31,144 - Step 6: Final answer
x = 78,929.37
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Why These Related Problems?
These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.