Finding the Third Proportional to 5,101.75 and 7,803.75
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Solution
The third proportional to 5,101.75 and 7,803.75 is: 11,936.79
Step by Step Solution
- Step 1: Write the proportion equation
5,101.75 : 7,803.75 = 7,803.75 : x - Step 2: Convert to fraction form
5,101.75/7,803.75 = 7,803.75/x - Step 3: Cross multiply
5,101.75x = 7,803.75 × 7,803.75 - Step 4: Simplify right side
5,101.75x = 60,898,514.06 - Step 5: Solve for x
x = 60,898,514.06/5,101.75 - Step 6: Final answer
x = 11,936.79
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.