Finding the Third Proportional to 9,106 and 13,659
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Solution
The third proportional to 9,106 and 13,659 is: 20,488.50
Step by Step Solution
- Step 1: Write the proportion equation
9,106 : 13,659 = 13,659 : x - Step 2: Convert to fraction form
9,106/13,659 = 13,659/x - Step 3: Cross multiply
9,106x = 13,659 × 13,659 - Step 4: Simplify right side
9,106x = 186,568,281 - Step 5: Solve for x
x = 186,568,281/9,106 - Step 6: Final answer
x = 20,488.50
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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.