Finding the Third Proportional to 8,471 and 13,091
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Solution
The third proportional to 8,471 and 13,091 is: 20,230.70
Step by Step Solution
- Step 1: Write the proportion equation
8,471 : 13,091 = 13,091 : x - Step 2: Convert to fraction form
8,471/13,091 = 13,091/x - Step 3: Cross multiply
8,471x = 13,091 × 13,091 - Step 4: Simplify right side
8,471x = 171,374,281 - Step 5: Solve for x
x = 171,374,281/8,471 - Step 6: Final answer
x = 20,230.70
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.