Finding the Third Proportional to 8,030 and 12,027
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Solution
The third proportional to 8,030 and 12,027 is: 18,013.54
Step by Step Solution
- Step 1: Write the proportion equation
8,030 : 12,027 = 12,027 : x - Step 2: Convert to fraction form
8,030/12,027 = 12,027/x - Step 3: Cross multiply
8,030x = 12,027 × 12,027 - Step 4: Simplify right side
8,030x = 144,648,729 - Step 5: Solve for x
x = 144,648,729/8,030 - Step 6: Final answer
x = 18,013.54
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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.