Finding the Third Proportional to 10,239.75 and 15,864.19
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Solution
The third proportional to 10,239.75 and 15,864.19 is: 24,577.99
Step by Step Solution
- Step 1: Write the proportion equation
10,239.75 : 15,864.19 = 15,864.19 : x - Step 2: Convert to fraction form
10,239.75/15,864.19 = 15,864.19/x - Step 3: Cross multiply
10,239.75x = 15,864.19 × 15,864.19 - Step 4: Simplify right side
10,239.75x = 251,672,445.04 - Step 5: Solve for x
x = 251,672,445.04/10,239.75 - Step 6: Final answer
x = 24,577.99
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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.