Finding the Third Proportional to 1,543.50 and 2,205
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Solution
The third proportional to 1,543.50 and 2,205 is: 3,150
Step by Step Solution
- Step 1: Write the proportion equation
1,543.50 : 2,205 = 2,205 : x - Step 2: Convert to fraction form
1,543.50/2,205 = 2,205/x - Step 3: Cross multiply
1,543.50x = 2,205 × 2,205 - Step 4: Simplify right side
1,543.50x = 4,862,025 - Step 5: Solve for x
x = 4,862,025/1,543.50 - Step 6: Final answer
x = 3,150
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Why These Related Problems?
These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.