Finding the Third Proportional to 22,234 and 31,269
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Solution
The third proportional to 22,234 and 31,269 is: 43,975.46
Step by Step Solution
- Step 1: Write the proportion equation
22,234 : 31,269 = 31,269 : x - Step 2: Convert to fraction form
22,234/31,269 = 31,269/x - Step 3: Cross multiply
22,234x = 31,269 × 31,269 - Step 4: Simplify right side
22,234x = 977,750,361 - Step 5: Solve for x
x = 977,750,361/22,234 - Step 6: Final answer
x = 43,975.46
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.