Finding the Third Proportional to 9,142 and 19,579
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Solution
The third proportional to 9,142 and 19,579 is: 41,931.44
Step by Step Solution
- Step 1: Write the proportion equation
9,142 : 19,579 = 19,579 : x - Step 2: Convert to fraction form
9,142/19,579 = 19,579/x - Step 3: Cross multiply
9,142x = 19,579 × 19,579 - Step 4: Simplify right side
9,142x = 383,337,241 - Step 5: Solve for x
x = 383,337,241/9,142 - Step 6: Final answer
x = 41,931.44
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.