Finding the Third Proportional to 5,194.13 and 8,125.31
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Solution
The third proportional to 5,194.13 and 8,125.31 is: 12,710.65
Step by Step Solution
- Step 1: Write the proportion equation
5,194.13 : 8,125.31 = 8,125.31 : x - Step 2: Convert to fraction form
5,194.13/8,125.31 = 8,125.31/x - Step 3: Cross multiply
5,194.13x = 8,125.31 × 8,125.31 - Step 4: Simplify right side
5,194.13x = 66,020,703.22 - Step 5: Solve for x
x = 66,020,703.22/5,194.13 - Step 6: Final answer
x = 12,710.65
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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.