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Finding the Third Proportional to 15,941.75 and 20,213.13

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Solution

The third proportional to 15,941.75 and 20,213.13 is: 25,628.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,941.75 : 20,213.13 = 20,213.13 : x
  2. Step 2: Convert to fraction form
    15,941.75/20,213.13 = 20,213.13/x
  3. Step 3: Cross multiply
    15,941.75x = 20,213.13 × 20,213.13
  4. Step 4: Simplify right side
    15,941.75x = 408,570,422.27
  5. Step 5: Solve for x
    x = 408,570,422.27/15,941.75
  6. Step 6: Final answer
    x = 25,628.96

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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.