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Finding the Third Proportional to 27,469 and 41,729.50

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Solution

The third proportional to 27,469 and 41,729.50 is: 63,393.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,469 : 41,729.50 = 41,729.50 : x
  2. Step 2: Convert to fraction form
    27,469/41,729.50 = 41,729.50/x
  3. Step 3: Cross multiply
    27,469x = 41,729.50 × 41,729.50
  4. Step 4: Simplify right side
    27,469x = 1,741,351,170.25
  5. Step 5: Solve for x
    x = 1,741,351,170.25/27,469
  6. Step 6: Final answer
    x = 63,393.32

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