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Finding the Third Proportional to 14,021.25 and 20,910

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Solution

The third proportional to 14,021.25 and 20,910 is: 31,183.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,021.25 : 20,910 = 20,910 : x
  2. Step 2: Convert to fraction form
    14,021.25/20,910 = 20,910/x
  3. Step 3: Cross multiply
    14,021.25x = 20,910 × 20,910
  4. Step 4: Simplify right side
    14,021.25x = 437,228,100
  5. Step 5: Solve for x
    x = 437,228,100/14,021.25
  6. Step 6: Final answer
    x = 31,183.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.