Finding the Third Proportional to 9,309.50 and 13,022
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Solution
The third proportional to 9,309.50 and 13,022 is: 18,214.99
Step by Step Solution
- Step 1: Write the proportion equation
9,309.50 : 13,022 = 13,022 : x - Step 2: Convert to fraction form
9,309.50/13,022 = 13,022/x - Step 3: Cross multiply
9,309.50x = 13,022 × 13,022 - Step 4: Simplify right side
9,309.50x = 169,572,484 - Step 5: Solve for x
x = 169,572,484/9,309.50 - Step 6: Final answer
x = 18,214.99
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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.