Finding the Third Proportional to 31,621 and 42,094
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Solution
The third proportional to 31,621 and 42,094 is: 56,035.70
Step by Step Solution
- Step 1: Write the proportion equation
31,621 : 42,094 = 42,094 : x - Step 2: Convert to fraction form
31,621/42,094 = 42,094/x - Step 3: Cross multiply
31,621x = 42,094 × 42,094 - Step 4: Simplify right side
31,621x = 1,771,904,836 - Step 5: Solve for x
x = 1,771,904,836/31,621 - Step 6: Final answer
x = 56,035.70
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Why These Related Problems?
These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.