Finding the Third Proportional to 9,876 and 15,288
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Solution
The third proportional to 9,876 and 15,288 is: 23,665.75
Step by Step Solution
- Step 1: Write the proportion equation
9,876 : 15,288 = 15,288 : x - Step 2: Convert to fraction form
9,876/15,288 = 15,288/x - Step 3: Cross multiply
9,876x = 15,288 × 15,288 - Step 4: Simplify right side
9,876x = 233,722,944 - Step 5: Solve for x
x = 233,722,944/9,876 - Step 6: Final answer
x = 23,665.75
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.