Finding the Third Proportional to 10,519.75 and 22,679.75
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Solution
The third proportional to 10,519.75 and 22,679.75 is: 48,895.75
Step by Step Solution
- Step 1: Write the proportion equation
10,519.75 : 22,679.75 = 22,679.75 : x - Step 2: Convert to fraction form
10,519.75/22,679.75 = 22,679.75/x - Step 3: Cross multiply
10,519.75x = 22,679.75 × 22,679.75 - Step 4: Simplify right side
10,519.75x = 514,371,060.06 - Step 5: Solve for x
x = 514,371,060.06/10,519.75 - Step 6: Final answer
x = 48,895.75
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.