Finding the Third Proportional to 14,732 and 32,206
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Solution
The third proportional to 14,732 and 32,206 is: 70,406.36
Step by Step Solution
- Step 1: Write the proportion equation
14,732 : 32,206 = 32,206 : x - Step 2: Convert to fraction form
14,732/32,206 = 32,206/x - Step 3: Cross multiply
14,732x = 32,206 × 32,206 - Step 4: Simplify right side
14,732x = 1,037,226,436 - Step 5: Solve for x
x = 1,037,226,436/14,732 - Step 6: Final answer
x = 70,406.36
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.