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Finding the Third Proportional to 26,813.63 and 58,296.75

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Solution

The third proportional to 26,813.63 and 58,296.75 is: 126,745.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,813.63 : 58,296.75 = 58,296.75 : x
  2. Step 2: Convert to fraction form
    26,813.63/58,296.75 = 58,296.75/x
  3. Step 3: Cross multiply
    26,813.63x = 58,296.75 × 58,296.75
  4. Step 4: Simplify right side
    26,813.63x = 3,398,511,060.56
  5. Step 5: Solve for x
    x = 3,398,511,060.56/26,813.63
  6. Step 6: Final answer
    x = 126,745.68

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.