Finding the Third Proportional to 42,230 and 66,864
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Solution
The third proportional to 42,230 and 66,864 is: 105,867.74
Step by Step Solution
- Step 1: Write the proportion equation
42,230 : 66,864 = 66,864 : x - Step 2: Convert to fraction form
42,230/66,864 = 66,864/x - Step 3: Cross multiply
42,230x = 66,864 × 66,864 - Step 4: Simplify right side
42,230x = 4,470,794,496 - Step 5: Solve for x
x = 4,470,794,496/42,230 - Step 6: Final answer
x = 105,867.74
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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.