Finding the Third Proportional to 17,714 and 27,791
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Solution
The third proportional to 17,714 and 27,791 is: 43,600.52
Step by Step Solution
- Step 1: Write the proportion equation
17,714 : 27,791 = 27,791 : x - Step 2: Convert to fraction form
17,714/27,791 = 27,791/x - Step 3: Cross multiply
17,714x = 27,791 × 27,791 - Step 4: Simplify right side
17,714x = 772,339,681 - Step 5: Solve for x
x = 772,339,681/17,714 - Step 6: Final answer
x = 43,600.52
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.