Finding the Third Proportional to 1,001.25 and 1,497.09
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Solution
The third proportional to 1,001.25 and 1,497.09 is: 2,238.49
Step by Step Solution
- Step 1: Write the proportion equation
1,001.25 : 1,497.09 = 1,497.09 : x - Step 2: Convert to fraction form
1,001.25/1,497.09 = 1,497.09/x - Step 3: Cross multiply
1,001.25x = 1,497.09 × 1,497.09 - Step 4: Simplify right side
1,001.25x = 2,241,289.70 - Step 5: Solve for x
x = 2,241,289.70/1,001.25 - Step 6: Final answer
x = 2,238.49
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.