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Finding the Third Proportional to 13,587.75 and 21,791.25

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Solution

The third proportional to 13,587.75 and 21,791.25 is: 34,947.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,587.75 : 21,791.25 = 21,791.25 : x
  2. Step 2: Convert to fraction form
    13,587.75/21,791.25 = 21,791.25/x
  3. Step 3: Cross multiply
    13,587.75x = 21,791.25 × 21,791.25
  4. Step 4: Simplify right side
    13,587.75x = 474,858,576.56
  5. Step 5: Solve for x
    x = 474,858,576.56/13,587.75
  6. Step 6: Final answer
    x = 34,947.55

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.