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Finding the Third Proportional to 14,220 and 20,016

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Solution

The third proportional to 14,220 and 20,016 is: 28,174.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,220 : 20,016 = 20,016 : x
  2. Step 2: Convert to fraction form
    14,220/20,016 = 20,016/x
  3. Step 3: Cross multiply
    14,220x = 20,016 × 20,016
  4. Step 4: Simplify right side
    14,220x = 400,640,256
  5. Step 5: Solve for x
    x = 400,640,256/14,220
  6. Step 6: Final answer
    x = 28,174.42

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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.