Finding the Third Proportional to 47,732 and 103,960
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Solution
The third proportional to 47,732 and 103,960 is: 226,424.24
Step by Step Solution
- Step 1: Write the proportion equation
47,732 : 103,960 = 103,960 : x - Step 2: Convert to fraction form
47,732/103,960 = 103,960/x - Step 3: Cross multiply
47,732x = 103,960 × 103,960 - Step 4: Simplify right side
47,732x = 10,807,681,600 - Step 5: Solve for x
x = 10,807,681,600/47,732 - Step 6: Final answer
x = 226,424.24
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.