Finding the Third Proportional to 8,020 and 12,030
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Solution
The third proportional to 8,020 and 12,030 is: 18,045
Step by Step Solution
- Step 1: Write the proportion equation
8,020 : 12,030 = 12,030 : x - Step 2: Convert to fraction form
8,020/12,030 = 12,030/x - Step 3: Cross multiply
8,020x = 12,030 × 12,030 - Step 4: Simplify right side
8,020x = 144,720,900 - Step 5: Solve for x
x = 144,720,900/8,020 - Step 6: Final answer
x = 18,045
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.