Finding the Third Proportional to 31,908 and 67,338
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Solution
The third proportional to 31,908 and 67,338 is: 142,108.76
Step by Step Solution
- Step 1: Write the proportion equation
31,908 : 67,338 = 67,338 : x - Step 2: Convert to fraction form
31,908/67,338 = 67,338/x - Step 3: Cross multiply
31,908x = 67,338 × 67,338 - Step 4: Simplify right side
31,908x = 4,534,406,244 - Step 5: Solve for x
x = 4,534,406,244/31,908 - Step 6: Final answer
x = 142,108.76
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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.