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Finding the Third Proportional to 23,027 and 35,208.75

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Solution

The third proportional to 23,027 and 35,208.75 is: 53,834.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,027 : 35,208.75 = 35,208.75 : x
  2. Step 2: Convert to fraction form
    23,027/35,208.75 = 35,208.75/x
  3. Step 3: Cross multiply
    23,027x = 35,208.75 × 35,208.75
  4. Step 4: Simplify right side
    23,027x = 1,239,656,076.56
  5. Step 5: Solve for x
    x = 1,239,656,076.56/23,027
  6. Step 6: Final answer
    x = 53,834.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.