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Finding the Third Proportional to 12,729.38 and 27,968.25

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Solution

The third proportional to 12,729.38 and 27,968.25 is: 61,450.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,729.38 : 27,968.25 = 27,968.25 : x
  2. Step 2: Convert to fraction form
    12,729.38/27,968.25 = 27,968.25/x
  3. Step 3: Cross multiply
    12,729.38x = 27,968.25 × 27,968.25
  4. Step 4: Simplify right side
    12,729.38x = 782,223,008.06
  5. Step 5: Solve for x
    x = 782,223,008.06/12,729.38
  6. Step 6: Final answer
    x = 61,450.23

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.