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Finding the Third Proportional to 4,524.19 and 10,963.69

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Solution

The third proportional to 4,524.19 and 10,963.69 is: 26,568.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,524.19 : 10,963.69 = 10,963.69 : x
  2. Step 2: Convert to fraction form
    4,524.19/10,963.69 = 10,963.69/x
  3. Step 3: Cross multiply
    4,524.19x = 10,963.69 × 10,963.69
  4. Step 4: Simplify right side
    4,524.19x = 120,202,443.60
  5. Step 5: Solve for x
    x = 120,202,443.60/4,524.19
  6. Step 6: Final answer
    x = 26,568.85

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.