Finding the Third Proportional to 42,006 and 56,049
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Solution
The third proportional to 42,006 and 56,049 is: 74,786.71
Step by Step Solution
- Step 1: Write the proportion equation
42,006 : 56,049 = 56,049 : x - Step 2: Convert to fraction form
42,006/56,049 = 56,049/x - Step 3: Cross multiply
42,006x = 56,049 × 56,049 - Step 4: Simplify right side
42,006x = 3,141,490,401 - Step 5: Solve for x
x = 3,141,490,401/42,006 - Step 6: Final answer
x = 74,786.71
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Why These Related Problems?
These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.