Finding the Third Proportional to 13,069 and 19,724
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Solution
The third proportional to 13,069 and 19,724 is: 29,767.86
Step by Step Solution
- Step 1: Write the proportion equation
13,069 : 19,724 = 19,724 : x - Step 2: Convert to fraction form
13,069/19,724 = 19,724/x - Step 3: Cross multiply
13,069x = 19,724 × 19,724 - Step 4: Simplify right side
13,069x = 389,036,176 - Step 5: Solve for x
x = 389,036,176/13,069 - Step 6: Final answer
x = 29,767.86
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.