Finding the Third Proportional to 12,640 and 27,424
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Solution
The third proportional to 12,640 and 27,424 is: 59,499.67
Step by Step Solution
- Step 1: Write the proportion equation
12,640 : 27,424 = 27,424 : x - Step 2: Convert to fraction form
12,640/27,424 = 27,424/x - Step 3: Cross multiply
12,640x = 27,424 × 27,424 - Step 4: Simplify right side
12,640x = 752,075,776 - Step 5: Solve for x
x = 752,075,776/12,640 - Step 6: Final answer
x = 59,499.67
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.