Finding the Third Proportional to 31,206 and 42,363
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Solution
The third proportional to 31,206 and 42,363 is: 57,508.93
Step by Step Solution
- Step 1: Write the proportion equation
31,206 : 42,363 = 42,363 : x - Step 2: Convert to fraction form
31,206/42,363 = 42,363/x - Step 3: Cross multiply
31,206x = 42,363 × 42,363 - Step 4: Simplify right side
31,206x = 1,794,623,769 - Step 5: Solve for x
x = 1,794,623,769/31,206 - Step 6: Final answer
x = 57,508.93
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Why These Related Problems?
These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.