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Finding the Third Proportional to 11,250.75 and 27,072.75

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Solution

The third proportional to 11,250.75 and 27,072.75 is: 65,145.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,250.75 : 27,072.75 = 27,072.75 : x
  2. Step 2: Convert to fraction form
    11,250.75/27,072.75 = 27,072.75/x
  3. Step 3: Cross multiply
    11,250.75x = 27,072.75 × 27,072.75
  4. Step 4: Simplify right side
    11,250.75x = 732,933,792.56
  5. Step 5: Solve for x
    x = 732,933,792.56/11,250.75
  6. Step 6: Final answer
    x = 65,145.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.