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Finding the Third Proportional to 7,941 and 11,179.50

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Solution

The third proportional to 7,941 and 11,179.50 is: 15,738.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,941 : 11,179.50 = 11,179.50 : x
  2. Step 2: Convert to fraction form
    7,941/11,179.50 = 11,179.50/x
  3. Step 3: Cross multiply
    7,941x = 11,179.50 × 11,179.50
  4. Step 4: Simplify right side
    7,941x = 124,981,220.25
  5. Step 5: Solve for x
    x = 124,981,220.25/7,941
  6. Step 6: Final answer
    x = 15,738.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.