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Finding the Third Proportional to 12,615 and 27,040.50

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Solution

The third proportional to 12,615 and 27,040.50 is: 57,961.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,615 : 27,040.50 = 27,040.50 : x
  2. Step 2: Convert to fraction form
    12,615/27,040.50 = 27,040.50/x
  3. Step 3: Cross multiply
    12,615x = 27,040.50 × 27,040.50
  4. Step 4: Simplify right side
    12,615x = 731,188,640.25
  5. Step 5: Solve for x
    x = 731,188,640.25/12,615
  6. Step 6: Final answer
    x = 57,961.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.