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Finding the Third Proportional to 23,820.75 and 50,928.75

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Solution

The third proportional to 23,820.75 and 50,928.75 is: 108,885.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,820.75 : 50,928.75 = 50,928.75 : x
  2. Step 2: Convert to fraction form
    23,820.75/50,928.75 = 50,928.75/x
  3. Step 3: Cross multiply
    23,820.75x = 50,928.75 × 50,928.75
  4. Step 4: Simplify right side
    23,820.75x = 2,593,737,576.56
  5. Step 5: Solve for x
    x = 2,593,737,576.56/23,820.75
  6. Step 6: Final answer
    x = 108,885.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.