Finding the Third Proportional to 6,458 and 9,940
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Solution
The third proportional to 6,458 and 9,940 is: 15,299.41
Step by Step Solution
- Step 1: Write the proportion equation
6,458 : 9,940 = 9,940 : x - Step 2: Convert to fraction form
6,458/9,940 = 9,940/x - Step 3: Cross multiply
6,458x = 9,940 × 9,940 - Step 4: Simplify right side
6,458x = 98,803,600 - Step 5: Solve for x
x = 98,803,600/6,458 - Step 6: Final answer
x = 15,299.41
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.