Finding the Third Proportional to 10,023.75 and 16,313.06
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Solution
The third proportional to 10,023.75 and 16,313.06 is: 26,548.55
Step by Step Solution
- Step 1: Write the proportion equation
10,023.75 : 16,313.06 = 16,313.06 : x - Step 2: Convert to fraction form
10,023.75/16,313.06 = 16,313.06/x - Step 3: Cross multiply
10,023.75x = 16,313.06 × 16,313.06 - Step 4: Simplify right side
10,023.75x = 266,116,008.13 - Step 5: Solve for x
x = 266,116,008.13/10,023.75 - Step 6: Final answer
x = 26,548.55
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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.