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Finding the Third Proportional to 23,350.13 and 48,361.78

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Solution

The third proportional to 23,350.13 and 48,361.78 is: 100,164.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,350.13 : 48,361.78 = 48,361.78 : x
  2. Step 2: Convert to fraction form
    23,350.13/48,361.78 = 48,361.78/x
  3. Step 3: Cross multiply
    23,350.13x = 48,361.78 × 48,361.78
  4. Step 4: Simplify right side
    23,350.13x = 2,338,861,885.67
  5. Step 5: Solve for x
    x = 2,338,861,885.67/23,350.13
  6. Step 6: Final answer
    x = 100,164.86

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.