Finding the Third Proportional to 36,864 and 78,988
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Solution
The third proportional to 36,864 and 78,988 is: 169,246.53
Step by Step Solution
- Step 1: Write the proportion equation
36,864 : 78,988 = 78,988 : x - Step 2: Convert to fraction form
36,864/78,988 = 78,988/x - Step 3: Cross multiply
36,864x = 78,988 × 78,988 - Step 4: Simplify right side
36,864x = 6,239,104,144 - Step 5: Solve for x
x = 6,239,104,144/36,864 - Step 6: Final answer
x = 169,246.53
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.