Finding the Third Proportional to 31,105.50 and 48,243
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Solution
The third proportional to 31,105.50 and 48,243 is: 74,822.36
Step by Step Solution
- Step 1: Write the proportion equation
31,105.50 : 48,243 = 48,243 : x - Step 2: Convert to fraction form
31,105.50/48,243 = 48,243/x - Step 3: Cross multiply
31,105.50x = 48,243 × 48,243 - Step 4: Simplify right side
31,105.50x = 2,327,387,049 - Step 5: Solve for x
x = 2,327,387,049/31,105.50 - Step 6: Final answer
x = 74,822.36
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.