Finding the Third Proportional to 35,429 and 74,857
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Solution
The third proportional to 35,429 and 74,857 is: 158,163.38
Step by Step Solution
- Step 1: Write the proportion equation
35,429 : 74,857 = 74,857 : x - Step 2: Convert to fraction form
35,429/74,857 = 74,857/x - Step 3: Cross multiply
35,429x = 74,857 × 74,857 - Step 4: Simplify right side
35,429x = 5,603,570,449 - Step 5: Solve for x
x = 5,603,570,449/35,429 - Step 6: Final answer
x = 158,163.38
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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.