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Finding the Third Proportional to 11,942.12 and 25,307.12

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Solution

The third proportional to 11,942.12 and 25,307.12 is: 53,629.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,942.12 : 25,307.12 = 25,307.12 : x
  2. Step 2: Convert to fraction form
    11,942.12/25,307.12 = 25,307.12/x
  3. Step 3: Cross multiply
    11,942.12x = 25,307.12 × 25,307.12
  4. Step 4: Simplify right side
    11,942.12x = 640,450,378.05
  5. Step 5: Solve for x
    x = 640,450,378.05/11,942.12
  6. Step 6: Final answer
    x = 53,629.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.