Finding the Third Proportional to 6,384 and 9,348
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Solution
The third proportional to 6,384 and 9,348 is: 13,688.14
Step by Step Solution
- Step 1: Write the proportion equation
6,384 : 9,348 = 9,348 : x - Step 2: Convert to fraction form
6,384/9,348 = 9,348/x - Step 3: Cross multiply
6,384x = 9,348 × 9,348 - Step 4: Simplify right side
6,384x = 87,385,104 - Step 5: Solve for x
x = 87,385,104/6,384 - Step 6: Final answer
x = 13,688.14
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.