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Finding the Third Proportional to 12,751 and 20,224

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Solution

The third proportional to 12,751 and 20,224 is: 32,076.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,751 : 20,224 = 20,224 : x
  2. Step 2: Convert to fraction form
    12,751/20,224 = 20,224/x
  3. Step 3: Cross multiply
    12,751x = 20,224 × 20,224
  4. Step 4: Simplify right side
    12,751x = 409,010,176
  5. Step 5: Solve for x
    x = 409,010,176/12,751
  6. Step 6: Final answer
    x = 32,076.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.