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Finding the Third Proportional to 23,049.38 and 50,269.88

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Solution

The third proportional to 23,049.38 and 50,269.88 is: 109,636.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,049.38 : 50,269.88 = 50,269.88 : x
  2. Step 2: Convert to fraction form
    23,049.38/50,269.88 = 50,269.88/x
  3. Step 3: Cross multiply
    23,049.38x = 50,269.88 × 50,269.88
  4. Step 4: Simplify right side
    23,049.38x = 2,527,060,332.52
  5. Step 5: Solve for x
    x = 2,527,060,332.52/23,049.38
  6. Step 6: Final answer
    x = 109,636.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.