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Finding the Third Proportional to 23,225 and 35,383.50

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Solution

The third proportional to 23,225 and 35,383.50 is: 53,907.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,225 : 35,383.50 = 35,383.50 : x
  2. Step 2: Convert to fraction form
    23,225/35,383.50 = 35,383.50/x
  3. Step 3: Cross multiply
    23,225x = 35,383.50 × 35,383.50
  4. Step 4: Simplify right side
    23,225x = 1,251,992,072.25
  5. Step 5: Solve for x
    x = 1,251,992,072.25/23,225
  6. Step 6: Final answer
    x = 53,907.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.