Finding the Third Proportional to 51,456 and 81,792
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Solution
The third proportional to 51,456 and 81,792 is: 130,012.66
Step by Step Solution
- Step 1: Write the proportion equation
51,456 : 81,792 = 81,792 : x - Step 2: Convert to fraction form
51,456/81,792 = 81,792/x - Step 3: Cross multiply
51,456x = 81,792 × 81,792 - Step 4: Simplify right side
51,456x = 6,689,931,264 - Step 5: Solve for x
x = 6,689,931,264/51,456 - Step 6: Final answer
x = 130,012.66
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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.