Finding the Third Proportional to 6,578.25 and 14,433.75
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Solution
The third proportional to 6,578.25 and 14,433.75 is: 31,669.99
Step by Step Solution
- Step 1: Write the proportion equation
6,578.25 : 14,433.75 = 14,433.75 : x - Step 2: Convert to fraction form
6,578.25/14,433.75 = 14,433.75/x - Step 3: Cross multiply
6,578.25x = 14,433.75 × 14,433.75 - Step 4: Simplify right side
6,578.25x = 208,333,139.06 - Step 5: Solve for x
x = 208,333,139.06/6,578.25 - Step 6: Final answer
x = 31,669.99
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.