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Finding the Third Proportional to 12,758.06 and 27,361.69

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Solution

The third proportional to 12,758.06 and 27,361.69 is: 58,681.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,758.06 : 27,361.69 = 27,361.69 : x
  2. Step 2: Convert to fraction form
    12,758.06/27,361.69 = 27,361.69/x
  3. Step 3: Cross multiply
    12,758.06x = 27,361.69 × 27,361.69
  4. Step 4: Simplify right side
    12,758.06x = 748,661,942.85
  5. Step 5: Solve for x
    x = 748,661,942.85/12,758.06
  6. Step 6: Final answer
    x = 58,681.48

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.