Finding the Third Proportional to 32,814.75 and 71,643.75
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Solution
The third proportional to 32,814.75 and 71,643.75 is: 156,418.28
Step by Step Solution
- Step 1: Write the proportion equation
32,814.75 : 71,643.75 = 71,643.75 : x - Step 2: Convert to fraction form
32,814.75/71,643.75 = 71,643.75/x - Step 3: Cross multiply
32,814.75x = 71,643.75 × 71,643.75 - Step 4: Simplify right side
32,814.75x = 5,132,826,914.06 - Step 5: Solve for x
x = 5,132,826,914.06/32,814.75 - Step 6: Final answer
x = 156,418.28
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.