Finding the Third Proportional to 10,912 and 12,032
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Solution
The third proportional to 10,912 and 12,032 is: 13,266.96
Step by Step Solution
- Step 1: Write the proportion equation
10,912 : 12,032 = 12,032 : x - Step 2: Convert to fraction form
10,912/12,032 = 12,032/x - Step 3: Cross multiply
10,912x = 12,032 × 12,032 - Step 4: Simplify right side
10,912x = 144,769,024 - Step 5: Solve for x
x = 144,769,024/10,912 - Step 6: Final answer
x = 13,266.96
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Why These Related Problems?
These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.