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Finding the Third Proportional to 17,469.50 and 37,720

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Solution

The third proportional to 17,469.50 and 37,720 is: 81,444.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,469.50 : 37,720 = 37,720 : x
  2. Step 2: Convert to fraction form
    17,469.50/37,720 = 37,720/x
  3. Step 3: Cross multiply
    17,469.50x = 37,720 × 37,720
  4. Step 4: Simplify right side
    17,469.50x = 1,422,798,400
  5. Step 5: Solve for x
    x = 1,422,798,400/17,469.50
  6. Step 6: Final answer
    x = 81,444.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.