Finding the Third Proportional to 2,457.84 and 6,114.23
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Solution
The third proportional to 2,457.84 and 6,114.23 is: 15,210.02
Step by Step Solution
- Step 1: Write the proportion equation
2,457.84 : 6,114.23 = 6,114.23 : x - Step 2: Convert to fraction form
2,457.84/6,114.23 = 6,114.23/x - Step 3: Cross multiply
2,457.84x = 6,114.23 × 6,114.23 - Step 4: Simplify right side
2,457.84x = 37,383,861.99 - Step 5: Solve for x
x = 37,383,861.99/2,457.84 - Step 6: Final answer
x = 15,210.02
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These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.