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Finding the Third Proportional to 20,022 and 24,162

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Solution

The third proportional to 20,022 and 24,162 is: 29,158.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,022 : 24,162 = 24,162 : x
  2. Step 2: Convert to fraction form
    20,022/24,162 = 24,162/x
  3. Step 3: Cross multiply
    20,022x = 24,162 × 24,162
  4. Step 4: Simplify right side
    20,022x = 583,802,244
  5. Step 5: Solve for x
    x = 583,802,244/20,022
  6. Step 6: Final answer
    x = 29,158.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.