Finding the Third Proportional to 19,309.50 and 42,267
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Solution
The third proportional to 19,309.50 and 42,267 is: 92,519.19
Step by Step Solution
- Step 1: Write the proportion equation
19,309.50 : 42,267 = 42,267 : x - Step 2: Convert to fraction form
19,309.50/42,267 = 42,267/x - Step 3: Cross multiply
19,309.50x = 42,267 × 42,267 - Step 4: Simplify right side
19,309.50x = 1,786,499,289 - Step 5: Solve for x
x = 1,786,499,289/19,309.50 - Step 6: Final answer
x = 92,519.19
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1.5x scale
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.