Finding the Third Proportional to 8,506 and 9,766
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Solution
The third proportional to 8,506 and 9,766 is: 11,212.64
Step by Step Solution
- Step 1: Write the proportion equation
8,506 : 9,766 = 9,766 : x - Step 2: Convert to fraction form
8,506/9,766 = 9,766/x - Step 3: Cross multiply
8,506x = 9,766 × 9,766 - Step 4: Simplify right side
8,506x = 95,374,756 - Step 5: Solve for x
x = 95,374,756/8,506 - Step 6: Final answer
x = 11,212.64
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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.