Finding the Third Proportional to 37,842 and 56,763
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Solution
The third proportional to 37,842 and 56,763 is: 85,144.50
Step by Step Solution
- Step 1: Write the proportion equation
37,842 : 56,763 = 56,763 : x - Step 2: Convert to fraction form
37,842/56,763 = 56,763/x - Step 3: Cross multiply
37,842x = 56,763 × 56,763 - Step 4: Simplify right side
37,842x = 3,222,038,169 - Step 5: Solve for x
x = 3,222,038,169/37,842 - Step 6: Final answer
x = 85,144.50
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.