Finding the Third Proportional to 27,266 and 36,642
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Solution
The third proportional to 27,266 and 36,642 is: 49,242.14
Step by Step Solution
- Step 1: Write the proportion equation
27,266 : 36,642 = 36,642 : x - Step 2: Convert to fraction form
27,266/36,642 = 36,642/x - Step 3: Cross multiply
27,266x = 36,642 × 36,642 - Step 4: Simplify right side
27,266x = 1,342,636,164 - Step 5: Solve for x
x = 1,342,636,164/27,266 - Step 6: Final answer
x = 49,242.14
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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.