Finding the Third Proportional to 1,014.19 and 1,409.06
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Solution
The third proportional to 1,014.19 and 1,409.06 is: 1,957.68
Step by Step Solution
- Step 1: Write the proportion equation
1,014.19 : 1,409.06 = 1,409.06 : x - Step 2: Convert to fraction form
1,014.19/1,409.06 = 1,409.06/x - Step 3: Cross multiply
1,014.19x = 1,409.06 × 1,409.06 - Step 4: Simplify right side
1,014.19x = 1,985,457.13 - Step 5: Solve for x
x = 1,985,457.13/1,014.19 - Step 6: Final answer
x = 1,957.68
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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.