Finding the Third Proportional to 6,274.13 and 8,771.63
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Solution
The third proportional to 6,274.13 and 8,771.63 is: 12,263.29
Step by Step Solution
- Step 1: Write the proportion equation
6,274.13 : 8,771.63 = 8,771.63 : x - Step 2: Convert to fraction form
6,274.13/8,771.63 = 8,771.63/x - Step 3: Cross multiply
6,274.13x = 8,771.63 × 8,771.63 - Step 4: Simplify right side
6,274.13x = 76,941,405.14 - Step 5: Solve for x
x = 76,941,405.14/6,274.13 - Step 6: Final answer
x = 12,263.29
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.