Finding the Third Proportional to 47,882 and 102,280
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Solution
The third proportional to 47,882 and 102,280 is: 218,478.73
Step by Step Solution
- Step 1: Write the proportion equation
47,882 : 102,280 = 102,280 : x - Step 2: Convert to fraction form
47,882/102,280 = 102,280/x - Step 3: Cross multiply
47,882x = 102,280 × 102,280 - Step 4: Simplify right side
47,882x = 10,461,198,400 - Step 5: Solve for x
x = 10,461,198,400/47,882 - Step 6: Final answer
x = 218,478.73
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.