Finding the Third Proportional to 1,089.75 and 2,124.75
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Solution
The third proportional to 1,089.75 and 2,124.75 is: 4,142.75
Step by Step Solution
- Step 1: Write the proportion equation
1,089.75 : 2,124.75 = 2,124.75 : x - Step 2: Convert to fraction form
1,089.75/2,124.75 = 2,124.75/x - Step 3: Cross multiply
1,089.75x = 2,124.75 × 2,124.75 - Step 4: Simplify right side
1,089.75x = 4,514,562.56 - Step 5: Solve for x
x = 4,514,562.56/1,089.75 - Step 6: Final answer
x = 4,142.75
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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.