Finding the Third Proportional to 42,756 and 64,894
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Solution
The third proportional to 42,756 and 64,894 is: 98,494.51
Step by Step Solution
- Step 1: Write the proportion equation
42,756 : 64,894 = 64,894 : x - Step 2: Convert to fraction form
42,756/64,894 = 64,894/x - Step 3: Cross multiply
42,756x = 64,894 × 64,894 - Step 4: Simplify right side
42,756x = 4,211,231,236 - Step 5: Solve for x
x = 4,211,231,236/42,756 - Step 6: Final answer
x = 98,494.51
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.