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Finding the Third Proportional to 14,242 and 20,793

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Solution

The third proportional to 14,242 and 20,793 is: 30,357.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,242 : 20,793 = 20,793 : x
  2. Step 2: Convert to fraction form
    14,242/20,793 = 20,793/x
  3. Step 3: Cross multiply
    14,242x = 20,793 × 20,793
  4. Step 4: Simplify right side
    14,242x = 432,348,849
  5. Step 5: Solve for x
    x = 432,348,849/14,242
  6. Step 6: Final answer
    x = 30,357.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.