Finding the Third Proportional to 9,158 and 13,731
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Solution
The third proportional to 9,158 and 13,731 is: 20,587.50
Step by Step Solution
- Step 1: Write the proportion equation
9,158 : 13,731 = 13,731 : x - Step 2: Convert to fraction form
9,158/13,731 = 13,731/x - Step 3: Cross multiply
9,158x = 13,731 × 13,731 - Step 4: Simplify right side
9,158x = 188,540,361 - Step 5: Solve for x
x = 188,540,361/9,158 - Step 6: Final answer
x = 20,587.50
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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.