Finding the Third Proportional to 33,842 and 47,313
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Solution
The third proportional to 33,842 and 47,313 is: 66,146.21
Step by Step Solution
- Step 1: Write the proportion equation
33,842 : 47,313 = 47,313 : x - Step 2: Convert to fraction form
33,842/47,313 = 47,313/x - Step 3: Cross multiply
33,842x = 47,313 × 47,313 - Step 4: Simplify right side
33,842x = 2,238,519,969 - Step 5: Solve for x
x = 2,238,519,969/33,842 - Step 6: Final answer
x = 66,146.21
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.