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Finding the Third Proportional to 15,941.50 and 20,212.75

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Solution

The third proportional to 15,941.50 and 20,212.75 is: 25,628.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,941.50 : 20,212.75 = 20,212.75 : x
  2. Step 2: Convert to fraction form
    15,941.50/20,212.75 = 20,212.75/x
  3. Step 3: Cross multiply
    15,941.50x = 20,212.75 × 20,212.75
  4. Step 4: Simplify right side
    15,941.50x = 408,555,262.56
  5. Step 5: Solve for x
    x = 408,555,262.56/15,941.50
  6. Step 6: Final answer
    x = 25,628.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.