Finding the Third Proportional to 33,807 and 69,978
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Solution
The third proportional to 33,807 and 69,978 is: 144,849.31
Step by Step Solution
- Step 1: Write the proportion equation
33,807 : 69,978 = 69,978 : x - Step 2: Convert to fraction form
33,807/69,978 = 69,978/x - Step 3: Cross multiply
33,807x = 69,978 × 69,978 - Step 4: Simplify right side
33,807x = 4,896,920,484 - Step 5: Solve for x
x = 4,896,920,484/33,807 - Step 6: Final answer
x = 144,849.31
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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.