Finding the Third Proportional to 45,736 and 64,064
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Solution
The third proportional to 45,736 and 64,064 is: 89,736.66
Step by Step Solution
- Step 1: Write the proportion equation
45,736 : 64,064 = 64,064 : x - Step 2: Convert to fraction form
45,736/64,064 = 64,064/x - Step 3: Cross multiply
45,736x = 64,064 × 64,064 - Step 4: Simplify right side
45,736x = 4,104,196,096 - Step 5: Solve for x
x = 4,104,196,096/45,736 - Step 6: Final answer
x = 89,736.66
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Why These Related Problems?
These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.