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Finding the Third Proportional to 11,604.50 and 20,231.75

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Solution

The third proportional to 11,604.50 and 20,231.75 is: 35,272.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.50 : 20,231.75 = 20,231.75 : x
  2. Step 2: Convert to fraction form
    11,604.50/20,231.75 = 20,231.75/x
  3. Step 3: Cross multiply
    11,604.50x = 20,231.75 × 20,231.75
  4. Step 4: Simplify right side
    11,604.50x = 409,323,708.06
  5. Step 5: Solve for x
    x = 409,323,708.06/11,604.50
  6. Step 6: Final answer
    x = 35,272.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.