Finding the Third Proportional to 1,317.50 and 1,915
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Solution
The third proportional to 1,317.50 and 1,915 is: 2,783.47
Step by Step Solution
- Step 1: Write the proportion equation
1,317.50 : 1,915 = 1,915 : x - Step 2: Convert to fraction form
1,317.50/1,915 = 1,915/x - Step 3: Cross multiply
1,317.50x = 1,915 × 1,915 - Step 4: Simplify right side
1,317.50x = 3,667,225 - Step 5: Solve for x
x = 3,667,225/1,317.50 - Step 6: Final answer
x = 2,783.47
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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.