Finding the Third Proportional to 9,298 and 13,004
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Solution
The third proportional to 9,298 and 13,004 is: 18,187.14
Step by Step Solution
- Step 1: Write the proportion equation
9,298 : 13,004 = 13,004 : x - Step 2: Convert to fraction form
9,298/13,004 = 13,004/x - Step 3: Cross multiply
9,298x = 13,004 × 13,004 - Step 4: Simplify right side
9,298x = 169,104,016 - Step 5: Solve for x
x = 169,104,016/9,298 - Step 6: Final answer
x = 18,187.14
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.