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Finding the Third Proportional to 20,219 and 28,749

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Solution

The third proportional to 20,219 and 28,749 is: 40,877.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,219 : 28,749 = 28,749 : x
  2. Step 2: Convert to fraction form
    20,219/28,749 = 28,749/x
  3. Step 3: Cross multiply
    20,219x = 28,749 × 28,749
  4. Step 4: Simplify right side
    20,219x = 826,505,001
  5. Step 5: Solve for x
    x = 826,505,001/20,219
  6. Step 6: Final answer
    x = 40,877.64

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.