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Finding the Third Proportional to 11,184.50 and 24,366.75

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Solution

The third proportional to 11,184.50 and 24,366.75 is: 53,085.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,184.50 : 24,366.75 = 24,366.75 : x
  2. Step 2: Convert to fraction form
    11,184.50/24,366.75 = 24,366.75/x
  3. Step 3: Cross multiply
    11,184.50x = 24,366.75 × 24,366.75
  4. Step 4: Simplify right side
    11,184.50x = 593,738,505.56
  5. Step 5: Solve for x
    x = 593,738,505.56/11,184.50
  6. Step 6: Final answer
    x = 53,085.83

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.