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Finding the Third Proportional to 23,471.16 and 50,923.97

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Solution

The third proportional to 23,471.16 and 50,923.97 is: 110,486.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,471.16 : 50,923.97 = 50,923.97 : x
  2. Step 2: Convert to fraction form
    23,471.16/50,923.97 = 50,923.97/x
  3. Step 3: Cross multiply
    23,471.16x = 50,923.97 × 50,923.97
  4. Step 4: Simplify right side
    23,471.16x = 2,593,250,593.25
  5. Step 5: Solve for x
    x = 2,593,250,593.25/23,471.16
  6. Step 6: Final answer
    x = 110,486.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.