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Finding the Third Proportional to 12,991.50 and 20,247.75

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Solution

The third proportional to 12,991.50 and 20,247.75 is: 31,556.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,991.50 : 20,247.75 = 20,247.75 : x
  2. Step 2: Convert to fraction form
    12,991.50/20,247.75 = 20,247.75/x
  3. Step 3: Cross multiply
    12,991.50x = 20,247.75 × 20,247.75
  4. Step 4: Simplify right side
    12,991.50x = 409,971,380.06
  5. Step 5: Solve for x
    x = 409,971,380.06/12,991.50
  6. Step 6: Final answer
    x = 31,556.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.