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Finding the Third Proportional to 20,144 and 43,749

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Solution

The third proportional to 20,144 and 43,749 is: 95,014.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,144 : 43,749 = 43,749 : x
  2. Step 2: Convert to fraction form
    20,144/43,749 = 43,749/x
  3. Step 3: Cross multiply
    20,144x = 43,749 × 43,749
  4. Step 4: Simplify right side
    20,144x = 1,913,975,001
  5. Step 5: Solve for x
    x = 1,913,975,001/20,144
  6. Step 6: Final answer
    x = 95,014.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.