Finding the Third Proportional to 14,496 and 23,040
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Solution
The third proportional to 14,496 and 23,040 is: 36,619.87
Step by Step Solution
- Step 1: Write the proportion equation
14,496 : 23,040 = 23,040 : x - Step 2: Convert to fraction form
14,496/23,040 = 23,040/x - Step 3: Cross multiply
14,496x = 23,040 × 23,040 - Step 4: Simplify right side
14,496x = 530,841,600 - Step 5: Solve for x
x = 530,841,600/14,496 - Step 6: Final answer
x = 36,619.87
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Why These Related Problems?
These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.