Finding the Third Proportional to 11,472 and 17,656
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Solution
The third proportional to 11,472 and 17,656 is: 27,173.50
Step by Step Solution
- Step 1: Write the proportion equation
11,472 : 17,656 = 17,656 : x - Step 2: Convert to fraction form
11,472/17,656 = 17,656/x - Step 3: Cross multiply
11,472x = 17,656 × 17,656 - Step 4: Simplify right side
11,472x = 311,734,336 - Step 5: Solve for x
x = 311,734,336/11,472 - Step 6: Final answer
x = 27,173.50
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.