Finding the Third Proportional to 21,950 and 42,788
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Solution
The third proportional to 21,950 and 42,788 is: 83,408.33
Step by Step Solution
- Step 1: Write the proportion equation
21,950 : 42,788 = 42,788 : x - Step 2: Convert to fraction form
21,950/42,788 = 42,788/x - Step 3: Cross multiply
21,950x = 42,788 × 42,788 - Step 4: Simplify right side
21,950x = 1,830,812,944 - Step 5: Solve for x
x = 1,830,812,944/21,950 - Step 6: Final answer
x = 83,408.33
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.