Finding the Third Proportional to 47,287 and 96,733
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Solution
The third proportional to 47,287 and 96,733 is: 197,882.57
Step by Step Solution
- Step 1: Write the proportion equation
47,287 : 96,733 = 96,733 : x - Step 2: Convert to fraction form
47,287/96,733 = 96,733/x - Step 3: Cross multiply
47,287x = 96,733 × 96,733 - Step 4: Simplify right side
47,287x = 9,357,273,289 - Step 5: Solve for x
x = 9,357,273,289/47,287 - Step 6: Final answer
x = 197,882.57
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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.