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Finding the Third Proportional to 23,373.50 and 50,027

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Solution

The third proportional to 23,373.50 and 50,027 is: 107,074.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,373.50 : 50,027 = 50,027 : x
  2. Step 2: Convert to fraction form
    23,373.50/50,027 = 50,027/x
  3. Step 3: Cross multiply
    23,373.50x = 50,027 × 50,027
  4. Step 4: Simplify right side
    23,373.50x = 2,502,700,729
  5. Step 5: Solve for x
    x = 2,502,700,729/23,373.50
  6. Step 6: Final answer
    x = 107,074.28

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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.