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Finding the Third Proportional to 12,660.25 and 27,268.25

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Solution

The third proportional to 12,660.25 and 27,268.25 is: 58,731.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,660.25 : 27,268.25 = 27,268.25 : x
  2. Step 2: Convert to fraction form
    12,660.25/27,268.25 = 27,268.25/x
  3. Step 3: Cross multiply
    12,660.25x = 27,268.25 × 27,268.25
  4. Step 4: Simplify right side
    12,660.25x = 743,557,458.06
  5. Step 5: Solve for x
    x = 743,557,458.06/12,660.25
  6. Step 6: Final answer
    x = 58,731.66

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Why These Related Problems?

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