Finding the Third Proportional to 6,464 and 9,788
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Solution
The third proportional to 6,464 and 9,788 is: 14,821.31
Step by Step Solution
- Step 1: Write the proportion equation
6,464 : 9,788 = 9,788 : x - Step 2: Convert to fraction form
6,464/9,788 = 9,788/x - Step 3: Cross multiply
6,464x = 9,788 × 9,788 - Step 4: Simplify right side
6,464x = 95,804,944 - Step 5: Solve for x
x = 95,804,944/6,464 - Step 6: Final answer
x = 14,821.31
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.