Finding the Third Proportional to 31,873.50 and 46,878
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Solution
The third proportional to 31,873.50 and 46,878 is: 68,945.89
Step by Step Solution
- Step 1: Write the proportion equation
31,873.50 : 46,878 = 46,878 : x - Step 2: Convert to fraction form
31,873.50/46,878 = 46,878/x - Step 3: Cross multiply
31,873.50x = 46,878 × 46,878 - Step 4: Simplify right side
31,873.50x = 2,197,546,884 - Step 5: Solve for x
x = 2,197,546,884/31,873.50 - Step 6: Final answer
x = 68,945.89
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Why These Related Problems?
These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.