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Finding the Third Proportional to 14,087.75 and 30,524.50

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Solution

The third proportional to 14,087.75 and 30,524.50 is: 66,138.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,087.75 : 30,524.50 = 30,524.50 : x
  2. Step 2: Convert to fraction form
    14,087.75/30,524.50 = 30,524.50/x
  3. Step 3: Cross multiply
    14,087.75x = 30,524.50 × 30,524.50
  4. Step 4: Simplify right side
    14,087.75x = 931,745,100.25
  5. Step 5: Solve for x
    x = 931,745,100.25/14,087.75
  6. Step 6: Final answer
    x = 66,138.67

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.