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Finding the Third Proportional to 10,785.94 and 23,306.63

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Solution

The third proportional to 10,785.94 and 23,306.63 is: 50,361.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,785.94 : 23,306.63 = 23,306.63 : x
  2. Step 2: Convert to fraction form
    10,785.94/23,306.63 = 23,306.63/x
  3. Step 3: Cross multiply
    10,785.94x = 23,306.63 × 23,306.63
  4. Step 4: Simplify right side
    10,785.94x = 543,198,768.89
  5. Step 5: Solve for x
    x = 543,198,768.89/10,785.94
  6. Step 6: Final answer
    x = 50,361.76

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.