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Finding the Third Proportional to 13,197.94 and 27,761.06

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Solution

The third proportional to 13,197.94 and 27,761.06 is: 58,393.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197.94 : 27,761.06 = 27,761.06 : x
  2. Step 2: Convert to fraction form
    13,197.94/27,761.06 = 27,761.06/x
  3. Step 3: Cross multiply
    13,197.94x = 27,761.06 × 27,761.06
  4. Step 4: Simplify right side
    13,197.94x = 770,676,591.13
  5. Step 5: Solve for x
    x = 770,676,591.13/13,197.94
  6. Step 6: Final answer
    x = 58,393.71

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.