Finding the Third Proportional to 31,938 and 49,023
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Solution
The third proportional to 31,938 and 49,023 is: 75,247.50
Step by Step Solution
- Step 1: Write the proportion equation
31,938 : 49,023 = 49,023 : x - Step 2: Convert to fraction form
31,938/49,023 = 49,023/x - Step 3: Cross multiply
31,938x = 49,023 × 49,023 - Step 4: Simplify right side
31,938x = 2,403,254,529 - Step 5: Solve for x
x = 2,403,254,529/31,938 - Step 6: Final answer
x = 75,247.50
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.