Finding the Third Proportional to 1,710 and 2,424
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Solution
The third proportional to 1,710 and 2,424 is: 3,436.13
Step by Step Solution
- Step 1: Write the proportion equation
1,710 : 2,424 = 2,424 : x - Step 2: Convert to fraction form
1,710/2,424 = 2,424/x - Step 3: Cross multiply
1,710x = 2,424 × 2,424 - Step 4: Simplify right side
1,710x = 5,875,776 - Step 5: Solve for x
x = 5,875,776/1,710 - Step 6: Final answer
x = 3,436.13
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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.