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Finding the Third Proportional to 14,868.50 and 20,251.75

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Solution

The third proportional to 14,868.50 and 20,251.75 is: 27,584.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,868.50 : 20,251.75 = 20,251.75 : x
  2. Step 2: Convert to fraction form
    14,868.50/20,251.75 = 20,251.75/x
  3. Step 3: Cross multiply
    14,868.50x = 20,251.75 × 20,251.75
  4. Step 4: Simplify right side
    14,868.50x = 410,133,378.06
  5. Step 5: Solve for x
    x = 410,133,378.06/14,868.50
  6. Step 6: Final answer
    x = 27,584.05

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.