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Finding the Third Proportional to 23,520.38 and 50,733.84

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Solution

The third proportional to 23,520.38 and 50,733.84 is: 109,433.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,520.38 : 50,733.84 = 50,733.84 : x
  2. Step 2: Convert to fraction form
    23,520.38/50,733.84 = 50,733.84/x
  3. Step 3: Cross multiply
    23,520.38x = 50,733.84 × 50,733.84
  4. Step 4: Simplify right side
    23,520.38x = 2,573,922,901.65
  5. Step 5: Solve for x
    x = 2,573,922,901.65/23,520.38
  6. Step 6: Final answer
    x = 109,433.75

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Why These Related Problems?

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