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Finding the Third Proportional to 12,729.66 and 27,421.03

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Solution

The third proportional to 12,729.66 and 27,421.03 is: 59,067.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,729.66 : 27,421.03 = 27,421.03 : x
  2. Step 2: Convert to fraction form
    12,729.66/27,421.03 = 27,421.03/x
  3. Step 3: Cross multiply
    12,729.66x = 27,421.03 × 27,421.03
  4. Step 4: Simplify right side
    12,729.66x = 751,912,954.81
  5. Step 5: Solve for x
    x = 751,912,954.81/12,729.66
  6. Step 6: Final answer
    x = 59,067.81

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.