Finding the Third Proportional to 5,734.13 and 8,875.13
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Solution
The third proportional to 5,734.13 and 8,875.13 is: 13,736.68
Step by Step Solution
- Step 1: Write the proportion equation
5,734.13 : 8,875.13 = 8,875.13 : x - Step 2: Convert to fraction form
5,734.13/8,875.13 = 8,875.13/x - Step 3: Cross multiply
5,734.13x = 8,875.13 × 8,875.13 - Step 4: Simplify right side
5,734.13x = 78,767,843.77 - Step 5: Solve for x
x = 78,767,843.77/5,734.13 - Step 6: Final answer
x = 13,736.68
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.