Finding the Third Proportional to 10,419.75 and 14,586.75
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Solution
The third proportional to 10,419.75 and 14,586.75 is: 20,420.19
Step by Step Solution
- Step 1: Write the proportion equation
10,419.75 : 14,586.75 = 14,586.75 : x - Step 2: Convert to fraction form
10,419.75/14,586.75 = 14,586.75/x - Step 3: Cross multiply
10,419.75x = 14,586.75 × 14,586.75 - Step 4: Simplify right side
10,419.75x = 212,773,275.56 - Step 5: Solve for x
x = 212,773,275.56/10,419.75 - Step 6: Final answer
x = 20,420.19
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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.