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Finding the Third Proportional to 12,198.09 and 26,629.59

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Solution

The third proportional to 12,198.09 and 26,629.59 is: 58,134.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.09 : 26,629.59 = 26,629.59 : x
  2. Step 2: Convert to fraction form
    12,198.09/26,629.59 = 26,629.59/x
  3. Step 3: Cross multiply
    12,198.09x = 26,629.59 × 26,629.59
  4. Step 4: Simplify right side
    12,198.09x = 709,135,263.29
  5. Step 5: Solve for x
    x = 709,135,263.29/12,198.09
  6. Step 6: Final answer
    x = 58,134.92

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.