Finding the Third Proportional to 5,103.75 and 11,763.75
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Solution
The third proportional to 5,103.75 and 11,763.75 is: 27,114.54
Step by Step Solution
- Step 1: Write the proportion equation
5,103.75 : 11,763.75 = 11,763.75 : x - Step 2: Convert to fraction form
5,103.75/11,763.75 = 11,763.75/x - Step 3: Cross multiply
5,103.75x = 11,763.75 × 11,763.75 - Step 4: Simplify right side
5,103.75x = 138,385,814.06 - Step 5: Solve for x
x = 138,385,814.06/5,103.75 - Step 6: Final answer
x = 27,114.54
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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.