Finding the Third Proportional to 48,026 and 77,165
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Solution
The third proportional to 48,026 and 77,165 is: 123,983.62
Step by Step Solution
- Step 1: Write the proportion equation
48,026 : 77,165 = 77,165 : x - Step 2: Convert to fraction form
48,026/77,165 = 77,165/x - Step 3: Cross multiply
48,026x = 77,165 × 77,165 - Step 4: Simplify right side
48,026x = 5,954,437,225 - Step 5: Solve for x
x = 5,954,437,225/48,026 - Step 6: Final answer
x = 123,983.62
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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.