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Finding the Third Proportional to 20,137 and 47,378.50

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Solution

The third proportional to 20,137 and 47,378.50 is: 111,472.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,137 : 47,378.50 = 47,378.50 : x
  2. Step 2: Convert to fraction form
    20,137/47,378.50 = 47,378.50/x
  3. Step 3: Cross multiply
    20,137x = 47,378.50 × 47,378.50
  4. Step 4: Simplify right side
    20,137x = 2,244,722,262.25
  5. Step 5: Solve for x
    x = 2,244,722,262.25/20,137
  6. Step 6: Final answer
    x = 111,472.53

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.