Finding the Third Proportional to 10,806.75 and 14,424.75
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Solution
The third proportional to 10,806.75 and 14,424.75 is: 19,254.02
Step by Step Solution
- Step 1: Write the proportion equation
10,806.75 : 14,424.75 = 14,424.75 : x - Step 2: Convert to fraction form
10,806.75/14,424.75 = 14,424.75/x - Step 3: Cross multiply
10,806.75x = 14,424.75 × 14,424.75 - Step 4: Simplify right side
10,806.75x = 208,073,412.56 - Step 5: Solve for x
x = 208,073,412.56/10,806.75 - Step 6: Final answer
x = 19,254.02
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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.