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Finding the Third Proportional to 14,224 and 20,022

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Solution

The third proportional to 14,224 and 20,022 is: 28,183.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,224 : 20,022 = 20,022 : x
  2. Step 2: Convert to fraction form
    14,224/20,022 = 20,022/x
  3. Step 3: Cross multiply
    14,224x = 20,022 × 20,022
  4. Step 4: Simplify right side
    14,224x = 400,880,484
  5. Step 5: Solve for x
    x = 400,880,484/14,224
  6. Step 6: Final answer
    x = 28,183.39

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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.