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Finding the Third Proportional to 23,956.50 and 50,394

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Solution

The third proportional to 23,956.50 and 50,394 is: 106,006.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,956.50 : 50,394 = 50,394 : x
  2. Step 2: Convert to fraction form
    23,956.50/50,394 = 50,394/x
  3. Step 3: Cross multiply
    23,956.50x = 50,394 × 50,394
  4. Step 4: Simplify right side
    23,956.50x = 2,539,555,236
  5. Step 5: Solve for x
    x = 2,539,555,236/23,956.50
  6. Step 6: Final answer
    x = 106,006.94

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.