Finding the Third Proportional to 34,772 and 75,086
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Solution
The third proportional to 34,772 and 75,086 is: 162,139.29
Step by Step Solution
- Step 1: Write the proportion equation
34,772 : 75,086 = 75,086 : x - Step 2: Convert to fraction form
34,772/75,086 = 75,086/x - Step 3: Cross multiply
34,772x = 75,086 × 75,086 - Step 4: Simplify right side
34,772x = 5,637,907,396 - Step 5: Solve for x
x = 5,637,907,396/34,772 - Step 6: Final answer
x = 162,139.29
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.