Finding the Third Proportional to 31,903.50 and 74,517
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Solution
The third proportional to 31,903.50 and 74,517 is: 174,049.35
Step by Step Solution
- Step 1: Write the proportion equation
31,903.50 : 74,517 = 74,517 : x - Step 2: Convert to fraction form
31,903.50/74,517 = 74,517/x - Step 3: Cross multiply
31,903.50x = 74,517 × 74,517 - Step 4: Simplify right side
31,903.50x = 5,552,783,289 - Step 5: Solve for x
x = 5,552,783,289/31,903.50 - Step 6: Final answer
x = 174,049.35
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Why These Related Problems?
These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.