Finding the Third Proportional to 33,785 and 52,998
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Solution
The third proportional to 33,785 and 52,998 is: 83,137.13
Step by Step Solution
- Step 1: Write the proportion equation
33,785 : 52,998 = 52,998 : x - Step 2: Convert to fraction form
33,785/52,998 = 52,998/x - Step 3: Cross multiply
33,785x = 52,998 × 52,998 - Step 4: Simplify right side
33,785x = 2,808,788,004 - Step 5: Solve for x
x = 2,808,788,004/33,785 - Step 6: Final answer
x = 83,137.13
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.