Finding the Third Proportional to 55,316 and 82,614
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Solution
The third proportional to 55,316 and 82,614 is: 123,383.34
Step by Step Solution
- Step 1: Write the proportion equation
55,316 : 82,614 = 82,614 : x - Step 2: Convert to fraction form
55,316/82,614 = 82,614/x - Step 3: Cross multiply
55,316x = 82,614 × 82,614 - Step 4: Simplify right side
55,316x = 6,825,072,996 - Step 5: Solve for x
x = 6,825,072,996/55,316 - Step 6: Final answer
x = 123,383.34
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.