Finding the Third Proportional to 13,956 and 31,948.50
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Solution
The third proportional to 13,956 and 31,948.50 is: 73,137.48
Step by Step Solution
- Step 1: Write the proportion equation
13,956 : 31,948.50 = 31,948.50 : x - Step 2: Convert to fraction form
13,956/31,948.50 = 31,948.50/x - Step 3: Cross multiply
13,956x = 31,948.50 × 31,948.50 - Step 4: Simplify right side
13,956x = 1,020,706,652.25 - Step 5: Solve for x
x = 1,020,706,652.25/13,956 - Step 6: Final answer
x = 73,137.48
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These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.