Finding the Third Proportional to 2,232.56 and 5,718.09
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Solution
The third proportional to 2,232.56 and 5,718.09 is: 14,645.32
Step by Step Solution
- Step 1: Write the proportion equation
2,232.56 : 5,718.09 = 5,718.09 : x - Step 2: Convert to fraction form
2,232.56/5,718.09 = 5,718.09/x - Step 3: Cross multiply
2,232.56x = 5,718.09 × 5,718.09 - Step 4: Simplify right side
2,232.56x = 32,696,596.13 - Step 5: Solve for x
x = 32,696,596.13/2,232.56 - Step 6: Final answer
x = 14,645.32
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Why These Related Problems?
These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.