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Finding the Third Proportional to 38,272.50 and 91,449

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Solution

The third proportional to 38,272.50 and 91,449 is: 218,509.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,272.50 : 91,449 = 91,449 : x
  2. Step 2: Convert to fraction form
    38,272.50/91,449 = 91,449/x
  3. Step 3: Cross multiply
    38,272.50x = 91,449 × 91,449
  4. Step 4: Simplify right side
    38,272.50x = 8,362,919,601
  5. Step 5: Solve for x
    x = 8,362,919,601/38,272.50
  6. Step 6: Final answer
    x = 218,509.89

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.