Finding the Third Proportional to 36,232 and 76,404
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Solution
The third proportional to 36,232 and 76,404 is: 161,116.45
Step by Step Solution
- Step 1: Write the proportion equation
36,232 : 76,404 = 76,404 : x - Step 2: Convert to fraction form
36,232/76,404 = 76,404/x - Step 3: Cross multiply
36,232x = 76,404 × 76,404 - Step 4: Simplify right side
36,232x = 5,837,571,216 - Step 5: Solve for x
x = 5,837,571,216/36,232 - Step 6: Final answer
x = 161,116.45
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.