Finding the Third Proportional to 9,590 and 17,788
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Solution
The third proportional to 9,590 and 17,788 is: 32,994.05
Step by Step Solution
- Step 1: Write the proportion equation
9,590 : 17,788 = 17,788 : x - Step 2: Convert to fraction form
9,590/17,788 = 17,788/x - Step 3: Cross multiply
9,590x = 17,788 × 17,788 - Step 4: Simplify right side
9,590x = 316,412,944 - Step 5: Solve for x
x = 316,412,944/9,590 - Step 6: Final answer
x = 32,994.05
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Why These Related Problems?
These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.