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Finding the Third Proportional to 13,016.25 and 27,758.25

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Solution

The third proportional to 13,016.25 and 27,758.25 is: 59,196.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,016.25 : 27,758.25 = 27,758.25 : x
  2. Step 2: Convert to fraction form
    13,016.25/27,758.25 = 27,758.25/x
  3. Step 3: Cross multiply
    13,016.25x = 27,758.25 × 27,758.25
  4. Step 4: Simplify right side
    13,016.25x = 770,520,443.06
  5. Step 5: Solve for x
    x = 770,520,443.06/13,016.25
  6. Step 6: Final answer
    x = 59,196.81

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.