Finding the Third Proportional to 46,628 and 73,946
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Solution
The third proportional to 46,628 and 73,946 is: 117,268.83
Step by Step Solution
- Step 1: Write the proportion equation
46,628 : 73,946 = 73,946 : x - Step 2: Convert to fraction form
46,628/73,946 = 73,946/x - Step 3: Cross multiply
46,628x = 73,946 × 73,946 - Step 4: Simplify right side
46,628x = 5,468,010,916 - Step 5: Solve for x
x = 5,468,010,916/46,628 - Step 6: Final answer
x = 117,268.83
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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.