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Finding the Third Proportional to 20,241 and 47,273.63

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Solution

The third proportional to 20,241 and 47,273.63 is: 110,409.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,241 : 47,273.63 = 47,273.63 : x
  2. Step 2: Convert to fraction form
    20,241/47,273.63 = 47,273.63/x
  3. Step 3: Cross multiply
    20,241x = 47,273.63 × 47,273.63
  4. Step 4: Simplify right side
    20,241x = 2,234,795,620.64
  5. Step 5: Solve for x
    x = 2,234,795,620.64/20,241
  6. Step 6: Final answer
    x = 110,409.35

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.