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Finding the Third Proportional to 20,223 and 31,027.50

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Solution

The third proportional to 20,223 and 31,027.50 is: 47,604.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,223 : 31,027.50 = 31,027.50 : x
  2. Step 2: Convert to fraction form
    20,223/31,027.50 = 31,027.50/x
  3. Step 3: Cross multiply
    20,223x = 31,027.50 × 31,027.50
  4. Step 4: Simplify right side
    20,223x = 962,705,756.25
  5. Step 5: Solve for x
    x = 962,705,756.25/20,223
  6. Step 6: Final answer
    x = 47,604.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.