Finding the Third Proportional to 47,049 and 97,986
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Solution
The third proportional to 47,049 and 97,986 is: 204,069.29
Step by Step Solution
- Step 1: Write the proportion equation
47,049 : 97,986 = 97,986 : x - Step 2: Convert to fraction form
47,049/97,986 = 97,986/x - Step 3: Cross multiply
47,049x = 97,986 × 97,986 - Step 4: Simplify right side
47,049x = 9,601,256,196 - Step 5: Solve for x
x = 9,601,256,196/47,049 - Step 6: Final answer
x = 204,069.29
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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.