Finding the Third Proportional to 51,472 and 77,208
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Solution
The third proportional to 51,472 and 77,208 is: 115,812
Step by Step Solution
- Step 1: Write the proportion equation
51,472 : 77,208 = 77,208 : x - Step 2: Convert to fraction form
51,472/77,208 = 77,208/x - Step 3: Cross multiply
51,472x = 77,208 × 77,208 - Step 4: Simplify right side
51,472x = 5,961,075,264 - Step 5: Solve for x
x = 5,961,075,264/51,472 - Step 6: Final answer
x = 115,812
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.