Finding the Third Proportional to 9,898 and 23,653
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Solution
The third proportional to 9,898 and 23,653 is: 56,522.98
Step by Step Solution
- Step 1: Write the proportion equation
9,898 : 23,653 = 23,653 : x - Step 2: Convert to fraction form
9,898/23,653 = 23,653/x - Step 3: Cross multiply
9,898x = 23,653 × 23,653 - Step 4: Simplify right side
9,898x = 559,464,409 - Step 5: Solve for x
x = 559,464,409/9,898 - Step 6: Final answer
x = 56,522.98
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Why These Related Problems?
These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.