Finding the Third Proportional to 37,087 and 82,489
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Solution
The third proportional to 37,087 and 82,489 is: 183,472.24
Step by Step Solution
- Step 1: Write the proportion equation
37,087 : 82,489 = 82,489 : x - Step 2: Convert to fraction form
37,087/82,489 = 82,489/x - Step 3: Cross multiply
37,087x = 82,489 × 82,489 - Step 4: Simplify right side
37,087x = 6,804,435,121 - Step 5: Solve for x
x = 6,804,435,121/37,087 - Step 6: Final answer
x = 183,472.24
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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.