Finding the Third Proportional to 37,744 and 66,464
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Solution
The third proportional to 37,744 and 66,464 is: 117,037.50
Step by Step Solution
- Step 1: Write the proportion equation
37,744 : 66,464 = 66,464 : x - Step 2: Convert to fraction form
37,744/66,464 = 66,464/x - Step 3: Cross multiply
37,744x = 66,464 × 66,464 - Step 4: Simplify right side
37,744x = 4,417,463,296 - Step 5: Solve for x
x = 4,417,463,296/37,744 - Step 6: Final answer
x = 117,037.50
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Why These Related Problems?
These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.