Finding the Third Proportional to 9,952 and 23,206
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Solution
The third proportional to 9,952 and 23,206 is: 54,111.58
Step by Step Solution
- Step 1: Write the proportion equation
9,952 : 23,206 = 23,206 : x - Step 2: Convert to fraction form
9,952/23,206 = 23,206/x - Step 3: Cross multiply
9,952x = 23,206 × 23,206 - Step 4: Simplify right side
9,952x = 538,518,436 - Step 5: Solve for x
x = 538,518,436/9,952 - Step 6: Final answer
x = 54,111.58
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.