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Finding the Third Proportional to 12,190.50 and 21,921

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Solution

The third proportional to 12,190.50 and 21,921 is: 39,418.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,190.50 : 21,921 = 21,921 : x
  2. Step 2: Convert to fraction form
    12,190.50/21,921 = 21,921/x
  3. Step 3: Cross multiply
    12,190.50x = 21,921 × 21,921
  4. Step 4: Simplify right side
    12,190.50x = 480,530,241
  5. Step 5: Solve for x
    x = 480,530,241/12,190.50
  6. Step 6: Final answer
    x = 39,418.42

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.