Finding the Third Proportional to 31,505 and 43,399
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Solution
The third proportional to 31,505 and 43,399 is: 59,783.31
Step by Step Solution
- Step 1: Write the proportion equation
31,505 : 43,399 = 43,399 : x - Step 2: Convert to fraction form
31,505/43,399 = 43,399/x - Step 3: Cross multiply
31,505x = 43,399 × 43,399 - Step 4: Simplify right side
31,505x = 1,883,473,201 - Step 5: Solve for x
x = 1,883,473,201/31,505 - Step 6: Final answer
x = 59,783.31
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.