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Finding the Third Proportional to 11,998.13 and 20,366.44

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Solution

The third proportional to 11,998.13 and 20,366.44 is: 34,571.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,998.13 : 20,366.44 = 20,366.44 : x
  2. Step 2: Convert to fraction form
    11,998.13/20,366.44 = 20,366.44/x
  3. Step 3: Cross multiply
    11,998.13x = 20,366.44 × 20,366.44
  4. Step 4: Simplify right side
    11,998.13x = 414,791,776.44
  5. Step 5: Solve for x
    x = 414,791,776.44/11,998.13
  6. Step 6: Final answer
    x = 34,571.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.