Finding the Third Proportional to 1,303.75 and 1,747.75
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Solution
The third proportional to 1,303.75 and 1,747.75 is: 2,342.96
Step by Step Solution
- Step 1: Write the proportion equation
1,303.75 : 1,747.75 = 1,747.75 : x - Step 2: Convert to fraction form
1,303.75/1,747.75 = 1,747.75/x - Step 3: Cross multiply
1,303.75x = 1,747.75 × 1,747.75 - Step 4: Simplify right side
1,303.75x = 3,054,630.06 - Step 5: Solve for x
x = 3,054,630.06/1,303.75 - Step 6: Final answer
x = 2,342.96
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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.