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Finding the Third Proportional to 5,033.50 and 11,866.75

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Solution

The third proportional to 5,033.50 and 11,866.75 is: 27,976.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,033.50 : 11,866.75 = 11,866.75 : x
  2. Step 2: Convert to fraction form
    5,033.50/11,866.75 = 11,866.75/x
  3. Step 3: Cross multiply
    5,033.50x = 11,866.75 × 11,866.75
  4. Step 4: Simplify right side
    5,033.50x = 140,819,755.56
  5. Step 5: Solve for x
    x = 140,819,755.56/5,033.50
  6. Step 6: Final answer
    x = 27,976.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.