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Finding the Third Proportional to 12,671.25 and 26,982.75

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Solution

The third proportional to 12,671.25 and 26,982.75 is: 57,458.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,671.25 : 26,982.75 = 26,982.75 : x
  2. Step 2: Convert to fraction form
    12,671.25/26,982.75 = 26,982.75/x
  3. Step 3: Cross multiply
    12,671.25x = 26,982.75 × 26,982.75
  4. Step 4: Simplify right side
    12,671.25x = 728,068,797.56
  5. Step 5: Solve for x
    x = 728,068,797.56/12,671.25
  6. Step 6: Final answer
    x = 57,458.32

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.