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Finding the Third Proportional to 6,027.50 and 12,980

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Solution

The third proportional to 6,027.50 and 12,980 is: 27,951.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,027.50 : 12,980 = 12,980 : x
  2. Step 2: Convert to fraction form
    6,027.50/12,980 = 12,980/x
  3. Step 3: Cross multiply
    6,027.50x = 12,980 × 12,980
  4. Step 4: Simplify right side
    6,027.50x = 168,480,400
  5. Step 5: Solve for x
    x = 168,480,400/6,027.50
  6. Step 6: Final answer
    x = 27,951.95

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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.