Finding the Third Proportional to 27,846 and 58,797
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Solution
The third proportional to 27,846 and 58,797 is: 124,150.23
Step by Step Solution
- Step 1: Write the proportion equation
27,846 : 58,797 = 58,797 : x - Step 2: Convert to fraction form
27,846/58,797 = 58,797/x - Step 3: Cross multiply
27,846x = 58,797 × 58,797 - Step 4: Simplify right side
27,846x = 3,457,087,209 - Step 5: Solve for x
x = 3,457,087,209/27,846 - Step 6: Final answer
x = 124,150.23
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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.