Finding the Third Proportional to 9,786 and 15,597
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Solution
The third proportional to 9,786 and 15,597 is: 24,858.62
Step by Step Solution
- Step 1: Write the proportion equation
9,786 : 15,597 = 15,597 : x - Step 2: Convert to fraction form
9,786/15,597 = 15,597/x - Step 3: Cross multiply
9,786x = 15,597 × 15,597 - Step 4: Simplify right side
9,786x = 243,266,409 - Step 5: Solve for x
x = 243,266,409/9,786 - Step 6: Final answer
x = 24,858.62
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Why These Related Problems?
These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.