Finding the Third Proportional to 31,526 and 47,944
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Solution
The third proportional to 31,526 and 47,944 is: 72,912.11
Step by Step Solution
- Step 1: Write the proportion equation
31,526 : 47,944 = 47,944 : x - Step 2: Convert to fraction form
31,526/47,944 = 47,944/x - Step 3: Cross multiply
31,526x = 47,944 × 47,944 - Step 4: Simplify right side
31,526x = 2,298,627,136 - Step 5: Solve for x
x = 2,298,627,136/31,526 - Step 6: Final answer
x = 72,912.11
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.