Finding the Third Proportional to 27,707 and 59,354
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Solution
The third proportional to 27,707 and 59,354 is: 127,148.28
Step by Step Solution
- Step 1: Write the proportion equation
27,707 : 59,354 = 59,354 : x - Step 2: Convert to fraction form
27,707/59,354 = 59,354/x - Step 3: Cross multiply
27,707x = 59,354 × 59,354 - Step 4: Simplify right side
27,707x = 3,522,897,316 - Step 5: Solve for x
x = 3,522,897,316/27,707 - Step 6: Final answer
x = 127,148.28
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.